Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920cd |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
181721014272000 = 216 · 39 · 53 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21843,1059858] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:224:1] |
Generators of the group modulo torsion |
j |
14295828483/2254000 |
j-invariant |
L |
5.378457040225 |
L(r)(E,1)/r! |
Ω |
0.54473162735505 |
Real period |
R |
2.4683976214848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490d1 115920cm1 |
Quadratic twists by: -4 -3 |