Atkin-Lehner |
3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905bg |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
876892118481225 = 313 · 52 · 76 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71537,7243224] |
[a1,a2,a3,a4,a6] |
j |
55537031513298889/1202869847025 |
j-invariant |
L |
0.99778413691203 |
L(r)(E,1)/r! |
Ω |
0.49889207169363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635e1 |
Quadratic twists by: -3 |