Atkin-Lehner |
2+ 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7728c |
Isogeny class |
Conductor |
7728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-6058752 = -1 · 28 · 3 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ -3 -2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-201,1173] |
[a1,a2,a3,a4,a6] |
j |
-3525581824/23667 |
j-invariant |
L |
2.4027765642063 |
L(r)(E,1)/r! |
Ω |
2.4027765642063 |
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 |
3864f1 30912ce1 23184f1 54096w1 |
Quadratic twists by: -4 8 -3 -7 |