Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30624i |
Isogeny class |
Conductor |
30624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2944 |
Modular degree for the optimal curve |
Δ |
-673728 = -1 · 26 · 3 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22,0] |
[a1,a2,a3,a4,a6] |
j |
17576000/10527 |
j-invariant |
L |
1.7565148526251 |
L(r)(E,1)/r! |
Ω |
1.7565148526259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30624f1 61248z1 91872k1 |
Quadratic twists by: -4 8 -3 |