Atkin-Lehner |
2- 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540j |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
5126927181138000 = 24 · 312 · 53 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71801,6579210] |
[a1,a2,a3,a4,a6] |
j |
21747684130816/2723635125 |
j-invariant |
L |
2.4945229135428 |
L(r)(E,1)/r! |
Ω |
0.41575382125498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2460e1 |
Quadratic twists by: -7 |