Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080d |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7138560 |
Modular degree for the optimal curve |
Δ |
6.6164212163424E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 11- -1 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43576496,-110011783704] |
[a1,a2,a3,a4,a6] |
j |
689102501118152/4982259375 |
j-invariant |
L |
1.4696562040044 |
L(r)(E,1)/r! |
Ω |
0.05878624826765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58080ca1 116160em1 58080bj1 |
Quadratic twists by: -4 8 -11 |