Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558cl |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
198144 |
Modular degree for the optimal curve |
Δ |
-320548999848 = -1 · 23 · 3 · 7 · 114 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8049,-282633] |
[a1,a2,a3,a4,a6] |
Generators |
[105:156:1] |
Generators of the group modulo torsion |
j |
-3938965036897/21893928 |
j-invariant |
L |
7.1553952912314 |
L(r)(E,1)/r! |
Ω |
0.25193555743655 |
Real period |
R |
0.78893579831044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96558h1 |
Quadratic twists by: -11 |