Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280r |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-18021120 = -1 · 28 · 3 · 5 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 3 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39,195] |
[a1,a2,a3,a4,a6] |
j |
24974336/70395 |
j-invariant |
L |
3.0669862146536 |
L(r)(E,1)/r! |
Ω |
1.5334931085169 |
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 |
29640c1 |
Quadratic twists by: -4 |