Atkin-Lehner |
2- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7238f |
Isogeny class |
Conductor |
7238 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2080 |
Modular degree for the optimal curve |
Δ |
-211943116 = -1 · 22 · 7 · 115 · 47 |
Discriminant |
Eigenvalues |
2- 0 1 7- 11+ 0 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,23,693] |
[a1,a2,a3,a4,a6] |
Generators |
[3:26:1] |
Generators of the group modulo torsion |
j |
1401168159/211943116 |
j-invariant |
L |
6.3789443133633 |
L(r)(E,1)/r! |
Ω |
1.3688223100446 |
Real period |
R |
2.3300848717009 |
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 |
57904m1 65142l1 50666l1 79618d1 |
Quadratic twists by: -4 -3 -7 -11 |