Atkin-Lehner |
2- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
74704u |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-192437504 = -1 · 28 · 72 · 232 · 29 |
Discriminant |
Eigenvalues |
2- -3 -1 7- -1 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,137,-254] |
[a1,a2,a3,a4,a6] |
Generators |
[6:28:1] [10:46:1] |
Generators of the group modulo torsion |
j |
1110824496/751709 |
j-invariant |
L |
6.7391593612275 |
L(r)(E,1)/r! |
Ω |
1.0165037064197 |
Real period |
R |
1.6574360030845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18676a1 |
Quadratic twists by: -4 |