Atkin-Lehner |
5+ 11+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24035a |
Isogeny class |
Conductor |
24035 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
39840 |
Modular degree for the optimal curve |
Δ |
-7946571875 = -1 · 55 · 11 · 19 · 233 |
Discriminant |
Eigenvalues |
2 1 5+ -2 11+ 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10906,434781] |
[a1,a2,a3,a4,a6] |
j |
-143469641527128064/7946571875 |
j-invariant |
L |
3.7270787154954 |
L(r)(E,1)/r! |
Ω |
1.2423595718318 |
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 |
120175b1 |
Quadratic twists by: 5 |