Atkin-Lehner |
2- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68614t |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-153670616144864 = -1 · 25 · 7 · 138 · 292 |
Discriminant |
Eigenvalues |
2- -3 -1 7+ 2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10848,740835] |
[a1,a2,a3,a4,a6] |
Generators |
[465:9569:1] |
Generators of the group modulo torsion |
j |
-173056689/188384 |
j-invariant |
L |
4.5056867881504 |
L(r)(E,1)/r! |
Ω |
0.52417489711216 |
Real period |
R |
0.28652566237262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68614k1 |
Quadratic twists by: 13 |