Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680x |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-1402401017823232000 = -1 · 226 · 53 · 78 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 1 2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-807536,284795860] |
[a1,a2,a3,a4,a6] |
Generators |
[604:4214:1] |
Generators of the group modulo torsion |
j |
-2466412193329/59392000 |
j-invariant |
L |
4.7368710628818 |
L(r)(E,1)/r! |
Ω |
0.26960784786144 |
Real period |
R |
2.9282475266282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999597267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210m1 113680by1 |
Quadratic twists by: -4 -7 |