Atkin-Lehner |
2- 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
112336k |
Isogeny class |
Conductor |
112336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
37246462066688 = 218 · 74 · 17 · 592 |
Discriminant |
Eigenvalues |
2- -2 0 7- -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11088,336532] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:826:1] [84:70:1] |
Generators of the group modulo torsion |
j |
36809725884625/9093374528 |
j-invariant |
L |
8.1960183655275 |
L(r)(E,1)/r! |
Ω |
0.60938140935937 |
Real period |
R |
1.6812168540257 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14042d1 |
Quadratic twists by: -4 |