Atkin-Lehner |
2- 7+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
7378m |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
5249606149480448 = 213 · 74 · 172 · 314 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60368,4516096] |
[a1,a2,a3,a4,a6] |
Generators |
[-188:3132:1] |
Generators of the group modulo torsion |
j |
24330135371626554625/5249606149480448 |
j-invariant |
L |
4.3281433700711 |
L(r)(E,1)/r! |
Ω |
0.40617531654958 |
Real period |
R |
0.20492019814149 |
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 |
59024r2 66402d2 51646be2 125426s2 |
Quadratic twists by: -4 -3 -7 17 |