Atkin-Lehner |
2- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
114638h |
Isogeny class |
Conductor |
114638 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
390096 |
Modular degree for the optimal curve |
Δ |
-724668417211262 = -1 · 2 · 31 · 438 |
Discriminant |
Eigenvalues |
2- -1 0 3 0 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8282,-1258815] |
[a1,a2,a3,a4,a6] |
j |
5375/62 |
j-invariant |
L |
2.9936755311651 |
L(r)(E,1)/r! |
Ω |
0.24947297322575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114638c1 |
Quadratic twists by: -43 |