Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475a |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-22050363825 = -1 · 32 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -1 -7 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,465,6210] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:60:1] |
Generators of the group modulo torsion |
j |
76895/153 |
j-invariant |
L |
4.6821637645999 |
L(r)(E,1)/r! |
Ω |
0.83338252894864 |
Real period |
R |
2.8091324224327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997494 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475ck1 62475cb1 |
Quadratic twists by: 5 -7 |