Atkin-Lehner |
2- 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
33456x |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
194688 |
Modular degree for the optimal curve |
Δ |
-574769703419904 = -1 · 238 · 3 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -2 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2584,-1155436] |
[a1,a2,a3,a4,a6] |
Generators |
[41387290:14376566784:343] |
Generators of the group modulo torsion |
j |
-466025146777/140324634624 |
j-invariant |
L |
8.9811065751859 |
L(r)(E,1)/r! |
Ω |
0.23143901131265 |
Real period |
R |
9.7013750234326 |
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 |
4182d1 100368bp1 |
Quadratic twists by: -4 -3 |