Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
94752i |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
773953475904 = 26 · 37 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2721,34540] |
[a1,a2,a3,a4,a6] |
Generators |
[53:198:1] |
Generators of the group modulo torsion |
j |
47753129152/16588509 |
j-invariant |
L |
4.5052879291443 |
L(r)(E,1)/r! |
Ω |
0.82412334262531 |
Real period |
R |
2.7333820652315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752bf1 31584v1 |
Quadratic twists by: -4 -3 |