Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5425i |
Isogeny class |
Conductor |
5425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-525546875 = -1 · 57 · 7 · 312 |
Discriminant |
Eigenvalues |
-2 1 5+ 7- -5 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8,-1106] |
[a1,a2,a3,a4,a6] |
Generators |
[53:387:1] |
Generators of the group modulo torsion |
j |
-4096/33635 |
j-invariant |
L |
2.3055236180914 |
L(r)(E,1)/r! |
Ω |
0.74951740562838 |
Real period |
R |
0.76900269452665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800z1 48825bo1 1085g1 37975f1 |
Quadratic twists by: -4 -3 5 -7 |