Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120by |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-43856640000000 = -1 · 214 · 36 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3819,-306675] |
[a1,a2,a3,a4,a6] |
Generators |
[331188:4209921:2197] |
Generators of the group modulo torsion |
j |
375871176704/2676796875 |
j-invariant |
L |
5.5970293899654 |
L(r)(E,1)/r! |
Ω |
0.31905238964359 |
Real period |
R |
8.7713328149837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120w1 11280bc1 |
Quadratic twists by: -4 8 |