Atkin-Lehner |
2+ 3- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80712c |
Isogeny class |
Conductor |
80712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253952 |
Modular degree for the optimal curve |
Δ |
-103315719739392 = -1 · 211 · 38 · 194 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 -5 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,-490034] |
[a1,a2,a3,a4,a6] |
j |
-488281250/69200451 |
j-invariant |
L |
1.060547460848 |
L(r)(E,1)/r! |
Ω |
0.26513686737968 |
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 |
26904d1 |
Quadratic twists by: -3 |