Atkin-Lehner |
2- 3+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
7242i |
Isogeny class |
Conductor |
7242 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
4987909655712 = 25 · 317 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 5 -1 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4348,-26947] |
[a1,a2,a3,a4,a6] |
j |
9090725854002625/4987909655712 |
j-invariant |
L |
3.1420944394525 |
L(r)(E,1)/r! |
Ω |
0.6284188878905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57936z1 21726f1 123114t1 |
Quadratic twists by: -4 -3 17 |