Atkin-Lehner |
2+ 3- 5+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130i |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-24311881728000 = -1 · 216 · 37 · 53 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-93150,-10921964] |
[a1,a2,a3,a4,a6] |
j |
-122616067664210401/33349632000 |
j-invariant |
L |
0.54654620845889 |
L(r)(E,1)/r! |
Ω |
0.13663644045878 |
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 |
40710bb1 |
Quadratic twists by: -3 |