Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241q |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
255597769411257 = 3 · 79 · 133 · 312 |
Discriminant |
Eigenvalues |
1 3- -4 7- -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-50643,-4322783] |
[a1,a2,a3,a4,a6] |
Generators |
[-3470923:-329141:24389] |
Generators of the group modulo torsion |
j |
355948607503/6333951 |
j-invariant |
L |
3.6223014178311 |
L(r)(E,1)/r! |
Ω |
0.31859556352349 |
Real period |
R |
11.369591521531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999919 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59241m1 |
Quadratic twists by: -7 |