Atkin-Lehner |
2+ 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306d |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
8036132594 = 2 · 78 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ -2 2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-565,2790] |
[a1,a2,a3,a4,a6] |
Generators |
[4:22:1] |
Generators of the group modulo torsion |
j |
3451273/1394 |
j-invariant |
L |
1.8793691285533 |
L(r)(E,1)/r! |
Ω |
1.1911947259537 |
Real period |
R |
0.52590593540976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68306g1 |
Quadratic twists by: -7 |