Atkin-Lehner |
3- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58425k |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
33120 |
Modular degree for the optimal curve |
Δ |
-1708405425 = -1 · 35 · 52 · 193 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ -3 -4 -6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-536,5123] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-68:1] |
Generators of the group modulo torsion |
j |
-679380091105/68336217 |
j-invariant |
L |
5.78798254738 |
L(r)(E,1)/r! |
Ω |
1.4566955976988 |
Real period |
R |
0.26489096538114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58425h1 |
Quadratic twists by: 5 |