Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710bp |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
5990400 |
Modular degree for the optimal curve |
Δ |
-3.8975391625799E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2757411,9659431233] |
[a1,a2,a3,a4,a6] |
Generators |
[-621:105822:1] |
Generators of the group modulo torsion |
j |
-1308796492121439049/22000592486400000 |
j-invariant |
L |
8.6330818061589 |
L(r)(E,1)/r! |
Ω |
0.097110420433768 |
Real period |
R |
3.419217077253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610c1 |
Quadratic twists by: -11 |