Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475cj |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
328732391925 = 33 · 52 · 73 · 175 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -5 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1738,3574] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:25:1] [-26:178:1] |
Generators of the group modulo torsion |
j |
67746795520/38336139 |
j-invariant |
L |
6.2254575804629 |
L(r)(E,1)/r! |
Ω |
0.82949894553528 |
Real period |
R |
0.25016939900734 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475bk1 62475n1 |
Quadratic twists by: 5 -7 |