Atkin-Lehner |
2- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7378n |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-131518693376 = -1 · 221 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2- -3 -3 7+ 2 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-219,17547] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:138:1] |
Generators of the group modulo torsion |
j |
-1156633033473/131518693376 |
j-invariant |
L |
2.6372672426882 |
L(r)(E,1)/r! |
Ω |
0.85343624045703 |
Real period |
R |
0.073575592680755 |
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 |
59024s1 66402h1 51646bf1 125426t1 |
Quadratic twists by: -4 -3 -7 17 |