Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290bx |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-91705847239160 = -1 · 23 · 5 · 76 · 117 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11- 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6052,492584] |
[a1,a2,a3,a4,a6] |
j |
-117649/440 |
j-invariant |
L |
1.0535067332417 |
L(r)(E,1)/r! |
Ω |
0.52675336658818 |
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 |
1210c1 5390be1 |
Quadratic twists by: -7 -11 |