Atkin-Lehner |
2- 3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
2424f |
Isogeny class |
Conductor |
2424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-18990508032 = -1 · 211 · 32 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 -2 -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1216,18028] |
[a1,a2,a3,a4,a6] |
j |
-97174336898/9272709 |
j-invariant |
L |
2.3864401400074 |
L(r)(E,1)/r! |
Ω |
1.1932200700037 |
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 |
4848b1 19392v1 7272d1 60600l1 |
Quadratic twists by: -4 8 -3 5 |