Atkin-Lehner |
7- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
58261i |
Isogeny class |
Conductor |
58261 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15024 |
Modular degree for the optimal curve |
Δ |
2388701 = 72 · 29 · 412 |
Discriminant |
Eigenvalues |
2 -2 -1 7- -2 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-156,-801] |
[a1,a2,a3,a4,a6] |
Generators |
[-508:9:64] |
Generators of the group modulo torsion |
j |
8623476736/48749 |
j-invariant |
L |
6.3909758163209 |
L(r)(E,1)/r! |
Ω |
1.3506240946758 |
Real period |
R |
2.3659343267351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58261a1 |
Quadratic twists by: -7 |