Atkin-Lehner |
2+ 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7378g |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-501704 = -1 · 23 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ -3 -1 7+ -6 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] |
Generators of the group modulo torsion |
j |
860085351/501704 |
j-invariant |
L |
1.3563951589208 |
L(r)(E,1)/r! |
Ω |
1.7359942944892 |
Real period |
R |
0.39066809240864 |
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 |
59024x1 66402x1 51646f1 125426f1 |
Quadratic twists by: -4 -3 -7 17 |