Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280s |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-25396441200 = -1 · 24 · 32 · 52 · 135 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 13- 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5036,-139461] |
[a1,a2,a3,a4,a6] |
j |
-882972400647424/1587277575 |
j-invariant |
L |
5.6666207664505 |
L(r)(E,1)/r! |
Ω |
0.28333103818768 |
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 |
29640d1 |
Quadratic twists by: -4 |