Atkin-Lehner |
2- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7378l |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-125426 = -1 · 2 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 2 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[30:53:8] |
Generators of the group modulo torsion |
j |
56181887/125426 |
j-invariant |
L |
5.9332665102689 |
L(r)(E,1)/r! |
Ω |
1.7126635214584 |
Real period |
R |
1.7321751867572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59024q1 66402g1 51646bc1 125426r1 |
Quadratic twists by: -4 -3 -7 17 |