Atkin-Lehner |
13- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79781d |
Isogeny class |
Conductor |
79781 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
3860385191003393 = 136 · 17 · 196 |
Discriminant |
Eigenvalues |
1 0 4 -2 6 13- 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-264500,-52206957] |
[a1,a2,a3,a4,a6] |
j |
43499078731809/82055753 |
j-invariant |
L |
5.0530490215345 |
L(r)(E,1)/r! |
Ω |
0.2105437103261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
221a1 |
Quadratic twists by: -19 |