Atkin-Lehner |
2+ 3- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642u |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-739885261283532 = -1 · 22 · 315 · 75 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,22248,279580] |
[a1,a2,a3,a4,a6] |
j |
1670544815861375/1014931771308 |
j-invariant |
L |
1.2455420010208 |
L(r)(E,1)/r! |
Ω |
0.31138550633561 |
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 |
32214t1 |
Quadratic twists by: -3 |