Atkin-Lehner |
2- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24986j |
Isogeny class |
Conductor |
24986 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-1476806125184 = -1 · 27 · 13 · 316 |
Discriminant |
Eigenvalues |
2- 3 -1 1 2 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2583,-76625] |
[a1,a2,a3,a4,a6] |
j |
-2146689/1664 |
j-invariant |
L |
9.0725106385446 |
L(r)(E,1)/r! |
Ω |
0.32401823709087 |
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 |
26b1 |
Quadratic twists by: -31 |