Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400bu |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-181420519600947200 = -1 · 219 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -3 -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-142753,29218337] |
[a1,a2,a3,a4,a6] |
j |
-417267265/235298 |
j-invariant |
L |
1.1885625279713 |
L(r)(E,1)/r! |
Ω |
0.29714062412452 |
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 |
78400hk2 2450f2 78400el2 11200e2 |
Quadratic twists by: -4 8 5 -7 |