Atkin-Lehner |
2- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
24700k |
Isogeny class |
Conductor |
24700 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-688922558593750000 = -1 · 24 · 514 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 6 13- -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23825,39959125] |
[a1,a2,a3,a4,a6] |
j |
-5982496199424/2755690234375 |
j-invariant |
L |
2.3228040831017 |
L(r)(E,1)/r! |
Ω |
0.23228040831015 |
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 |
98800bs1 4940b1 |
Quadratic twists by: -4 5 |