Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640ba |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
362496000 = 214 · 3 · 53 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 5 -1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7061,226035] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:375:1] |
Generators of the group modulo torsion |
j |
2376642789376/22125 |
j-invariant |
L |
7.5719235433547 |
L(r)(E,1)/r! |
Ω |
1.5328080160598 |
Real period |
R |
4.9399034086371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640bp1 3540d1 |
Quadratic twists by: -4 8 |