Atkin-Lehner |
5+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78925c |
Isogeny class |
Conductor |
78925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1477440 |
Modular degree for the optimal curve |
Δ |
-7494452861328125 = -1 · 510 · 73 · 113 · 412 |
Discriminant |
Eigenvalues |
1 3 5+ 7+ 11- 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-726367,238495166] |
[a1,a2,a3,a4,a6] |
Generators |
[367182:165032:729] |
Generators of the group modulo torsion |
j |
-4340025896540625/767431973 |
j-invariant |
L |
14.316157926018 |
L(r)(E,1)/r! |
Ω |
0.40467550865869 |
Real period |
R |
5.8961470875671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78925n1 |
Quadratic twists by: 5 |