Atkin-Lehner |
5- 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
68425h |
Isogeny class |
Conductor |
68425 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-15140100390625 = -1 · 58 · 73 · 173 · 23 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ -4 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5945,61072] |
[a1,a2,a3,a4,a6] |
Generators |
[10:343:1] [19:415:1] |
Generators of the group modulo torsion |
j |
59495995935/38758657 |
j-invariant |
L |
5.8108668885478 |
L(r)(E,1)/r! |
Ω |
0.4377518953087 |
Real period |
R |
1.4749265129935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68425d1 |
Quadratic twists by: 5 |