Atkin-Lehner |
3+ 7+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
24297a |
Isogeny class |
Conductor |
24297 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96320 |
Modular degree for the optimal curve |
Δ |
-1209106281504303 = -1 · 314 · 75 · 132 · 89 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21686,-1125850] |
[a1,a2,a3,a4,a6] |
j |
1127874611503077983/1209106281504303 |
j-invariant |
L |
0.26300185616986 |
L(r)(E,1)/r! |
Ω |
0.26300185616993 |
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 |
72891d1 |
Quadratic twists by: -3 |