Atkin-Lehner |
3- 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
48285d |
Isogeny class |
Conductor |
48285 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
813994565625 = 38 · 55 · 29 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- 4 -2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16659,-822312] |
[a1,a2,a3,a4,a6] |
Generators |
[-594:567:8] |
Generators of the group modulo torsion |
j |
701386871424049/1116590625 |
j-invariant |
L |
8.0240132829441 |
L(r)(E,1)/r! |
Ω |
0.42026926033247 |
Real period |
R |
1.9092553370619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16095c1 |
Quadratic twists by: -3 |