Atkin-Lehner |
3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725j |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-250416796875 = -1 · 3 · 58 · 74 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4583,-120307] |
[a1,a2,a3,a4,a6] |
Generators |
[517:11637:1] |
Generators of the group modulo torsion |
j |
-27258880000/641067 |
j-invariant |
L |
3.8742059445009 |
L(r)(E,1)/r! |
Ω |
0.28971454869624 |
Real period |
R |
2.228748931181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46725q1 |
Quadratic twists by: 5 |