Atkin-Lehner |
7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
47089a |
Isogeny class |
Conductor |
47089 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-304413762583 = -1 · 73 · 316 |
Discriminant |
Eigenvalues |
1 0 0 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2102,46143] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:6385:27] |
Generators of the group modulo torsion |
j |
-3375 |
j-invariant |
L |
4.8031394700954 |
L(r)(E,1)/r! |
Ω |
0.91869225177344 |
Real period |
R |
5.2282355280788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47089a3 49a1 |
Quadratic twists by: -7 -31 |