Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850gb |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
-5975758800000000 = -1 · 210 · 310 · 58 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 4 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,17320,3609947] |
[a1,a2,a3,a4,a6] |
j |
2017917095/20984832 |
j-invariant |
L |
6.2593607412361 |
L(r)(E,1)/r! |
Ω |
0.31296801770628 |
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 |
37950bm1 113850bu1 |
Quadratic twists by: -3 5 |