Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400de |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-410700000000 = -1 · 28 · 3 · 58 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -2 -1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9333,-351537] |
[a1,a2,a3,a4,a6] |
j |
-899153920/4107 |
j-invariant |
L |
2.9135530614054 |
L(r)(E,1)/r! |
Ω |
0.24279608844512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11100f1 44400bp1 |
Quadratic twists by: -4 5 |