Atkin-Lehner |
3+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241m |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
2172545193 = 3 · 73 · 133 · 312 |
Discriminant |
Eigenvalues |
1 3+ 4 7- -4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1033,12160] |
[a1,a2,a3,a4,a6] |
j |
355948607503/6333951 |
j-invariant |
L |
4.3962363920717 |
L(r)(E,1)/r! |
Ω |
1.4654121314154 |
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 |
59241q1 |
Quadratic twists by: -7 |