Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
75400i |
Isogeny class |
Conductor |
75400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
2038816000 = 28 · 53 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5- -5 -4 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1073,13717] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:130:1] [-28:145:1] |
Generators of the group modulo torsion |
j |
4273439744/63713 |
j-invariant |
L |
7.0021089267638 |
L(r)(E,1)/r! |
Ω |
1.4751726172656 |
Real period |
R |
0.19777654167341 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75400u1 |
Quadratic twists by: 5 |