Atkin-Lehner |
3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475bd |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
803919514453125 = 3 · 58 · 79 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -3 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-28583,1273943] |
[a1,a2,a3,a4,a6] |
Generators |
[621:14920:1] |
Generators of the group modulo torsion |
j |
163840/51 |
j-invariant |
L |
3.3365912653754 |
L(r)(E,1)/r! |
Ω |
0.46547019648492 |
Real period |
R |
3.5841083820082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475bz1 62475cr1 |
Quadratic twists by: 5 -7 |