Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330dk |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-1086722812500000 = -1 · 25 · 3 · 510 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8895,1553577] |
[a1,a2,a3,a4,a6] |
Generators |
[44:1403:1] |
Generators of the group modulo torsion |
j |
460544725954391/6430312500000 |
j-invariant |
L |
10.09918305455 |
L(r)(E,1)/r! |
Ω |
0.3634416131654 |
Real period |
R |
0.1852509032446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330ba1 |
Quadratic twists by: 13 |