Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80408f |
Isogeny class |
Conductor |
80408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1115136 |
Modular degree for the optimal curve |
Δ |
-380904632406784 = -1 · 28 · 19 · 238 |
Discriminant |
Eigenvalues |
2+ 0 3 5 -3 -6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-785036,-267722668] |
[a1,a2,a3,a4,a6] |
Generators |
[44114:3230603:8] |
Generators of the group modulo torsion |
j |
-1411839894528/10051 |
j-invariant |
L |
8.9235863689006 |
L(r)(E,1)/r! |
Ω |
0.080194942487049 |
Real period |
R |
6.9546050010482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3496b1 |
Quadratic twists by: -23 |