Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550gg |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
269068800 |
Modular degree for the optimal curve |
Δ |
-2.7459051721766E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20190511888,-1107137073662719] |
[a1,a2,a3,a4,a6] |
Generators |
[743707504888458510982302318302465790206517841312541015683030165586220482807982227693826523649234940250230225:16869541611004525470222363852770620654118105176164797274162424205272039111591043692298938333403374275709407827:4524833275000293437822206873933307015829398100397778008490969963245778949683632396786004998629844546875] |
Generators of the group modulo torsion |
j |
-2309847445598231841775/6967919612015856 |
j-invariant |
L |
8.4364680227639 |
L(r)(E,1)/r! |
Ω |
0.0063314658725643 |
Real period |
R |
166.55834905707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550fm1 95550jr1 |
Quadratic twists by: 5 -7 |