Atkin-Lehner |
2- 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350db |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
137025000000 = 26 · 33 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7730,262897] |
[a1,a2,a3,a4,a6] |
Generators |
[29:235:1] [-5:551:1] |
Generators of the group modulo torsion |
j |
121066986123/324800 |
j-invariant |
L |
15.508142964315 |
L(r)(E,1)/r! |
Ω |
1.0395905465091 |
Real period |
R |
1.2431290871226 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350f1 18270j1 |
Quadratic twists by: -3 5 |