Atkin-Lehner |
3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8925l |
Isogeny class |
Conductor |
8925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
277200 |
Modular degree for the optimal curve |
Δ |
968788640998828125 = 311 · 58 · 77 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ -5 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2563583,1580007068] |
[a1,a2,a3,a4,a6] |
Generators |
[-1844:5799:1] |
Generators of the group modulo torsion |
j |
4769863992106516480/2480098920957 |
j-invariant |
L |
2.1779530285901 |
L(r)(E,1)/r! |
Ω |
0.2747667560462 |
Real period |
R |
7.9265521780367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26775bs1 8925y1 62475cn1 |
Quadratic twists by: -3 5 -7 |