Atkin-Lehner |
2+ 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65758h |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
222926578391617408 = 27 · 78 · 113 · 613 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 11- -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-245270,-40966316] |
[a1,a2,a3,a4,a6] |
Generators |
[-337:2055:1] |
Generators of the group modulo torsion |
j |
13869842580609625/1894844651392 |
j-invariant |
L |
3.136263222355 |
L(r)(E,1)/r! |
Ω |
0.21647285086532 |
Real period |
R |
2.4146701770053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394c1 |
Quadratic twists by: -7 |