Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98838bh |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
272812846066704 = 24 · 37 · 177 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55976,5049051] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:2409:1] |
Generators of the group modulo torsion |
j |
1102302937/15504 |
j-invariant |
L |
8.4169249061651 |
L(r)(E,1)/r! |
Ω |
0.55182663115889 |
Real period |
R |
3.8132107264384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999879853 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32946b1 5814p1 |
Quadratic twists by: -3 17 |