Atkin-Lehner |
2+ 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
24024h |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-32260953252528 = -1 · 24 · 35 · 74 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7041,149220] |
[a1,a2,a3,a4,a6] |
j |
2412376450009088/2016309578283 |
j-invariant |
L |
1.7025537639193 |
L(r)(E,1)/r! |
Ω |
0.42563844097981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48048r1 72072bk1 |
Quadratic twists by: -4 -3 |