Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bq |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
3691467158203125 = 33 · 510 · 77 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-163333,-25293131] |
[a1,a2,a3,a4,a6] |
Generators |
[-241:361:1] |
Generators of the group modulo torsion |
j |
419430400/3213 |
j-invariant |
L |
6.0814475937101 |
L(r)(E,1)/r! |
Ω |
0.23759179315997 |
Real period |
R |
4.2660337104805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475bm1 8925c1 |
Quadratic twists by: 5 -7 |