Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99710q |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-454329382368160 = -1 · 25 · 5 · 138 · 592 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -3 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,137,-1025553] |
[a1,a2,a3,a4,a6] |
Generators |
[465:-10204:1] [7365:628346:1] |
Generators of the group modulo torsion |
j |
351/556960 |
j-invariant |
L |
15.56469968462 |
L(r)(E,1)/r! |
Ω |
0.24218196388508 |
Real period |
R |
2.1422872063418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710n1 |
Quadratic twists by: 13 |