Atkin-Lehner |
2+ 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570t |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
34428240 |
Modular degree for the optimal curve |
Δ |
-6.2564852416828E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 5 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-509636677,-4589143630259] |
[a1,a2,a3,a4,a6] |
j |
-124427822010671478697670089/5317924709672681472000 |
j-invariant |
L |
2.1394563934929 |
L(r)(E,1)/r! |
Ω |
0.015847825138816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
930f1 |
Quadratic twists by: -7 |