Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448f |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-5650524582912 = -1 · 210 · 36 · 115 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 11+ -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25059,-1531118] |
[a1,a2,a3,a4,a6] |
Generators |
[4971:350302:1] |
Generators of the group modulo torsion |
j |
-2331242411908/7569397 |
j-invariant |
L |
5.9459862313786 |
L(r)(E,1)/r! |
Ω |
0.18968989264146 |
Real period |
R |
7.8364563175113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37224e1 8272e1 |
Quadratic twists by: -4 -3 |