Atkin-Lehner |
2- 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7378o |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
31463362952 = 23 · 72 · 174 · 312 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1904,30025] |
[a1,a2,a3,a4,a6] |
Generators |
[59:327:1] |
Generators of the group modulo torsion |
j |
763376524275457/31463362952 |
j-invariant |
L |
7.4090651988087 |
L(r)(E,1)/r! |
Ω |
1.1607173868076 |
Real period |
R |
0.53193146490107 |
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 |
59024ba2 66402a2 51646ba2 125426u2 |
Quadratic twists by: -4 -3 -7 17 |