Atkin-Lehner |
2+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7504d |
Isogeny class |
Conductor |
7504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
480256 = 210 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 2 1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,3904] |
[a1,a2,a3,a4,a6] |
Generators |
[12:4:1] |
Generators of the group modulo torsion |
j |
10262905636/469 |
j-invariant |
L |
3.0585298407516 |
L(r)(E,1)/r! |
Ω |
2.7785420401626 |
Real period |
R |
0.27519197087374 |
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 |
3752m1 30016bk1 67536h1 52528c1 |
Quadratic twists by: -4 8 -3 -7 |