Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7038q |
Isogeny class |
Conductor |
7038 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-18242496 = -1 · 26 · 36 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,49,-169] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
18191447/25024 |
j-invariant |
L |
5.3476946626082 |
L(r)(E,1)/r! |
Ω |
1.1600094178164 |
Real period |
R |
1.5366813925455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56304bp1 782a1 119646by1 |
Quadratic twists by: -4 -3 17 |