Atkin-Lehner |
2- 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550bx |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
28304640 |
Modular degree for the optimal curve |
Δ |
-1.5464662009978E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1762755463,28485576982781] |
[a1,a2,a3,a4,a6] |
Generators |
[24555:72922:1] |
Generators of the group modulo torsion |
j |
-38768579986086622574716800169/98973836863856640 |
j-invariant |
L |
7.9422660174967 |
L(r)(E,1)/r! |
Ω |
0.09898780083538 |
Real period |
R |
0.51432561608679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910s1 |
Quadratic twists by: 5 |