Atkin-Lehner |
2- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
74704t |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
4479504394502144 = 214 · 75 · 23 · 294 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137824,19383156] |
[a1,a2,a3,a4,a6] |
Generators |
[292:-2030:1] [250:784:1] |
Generators of the group modulo torsion |
j |
70687311717054817/1093629002564 |
j-invariant |
L |
6.5671967176188 |
L(r)(E,1)/r! |
Ω |
0.43675976818085 |
Real period |
R |
0.75180879696554 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9338i1 |
Quadratic twists by: -4 |