Atkin-Lehner |
2+ 3+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
8178a |
Isogeny class |
Conductor |
8178 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-2649672 = -1 · 23 · 35 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -4 3 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,30,-36] |
[a1,a2,a3,a4,a6] |
j |
2833148375/2649672 |
j-invariant |
L |
1.4006131396393 |
L(r)(E,1)/r! |
Ω |
1.4006131396393 |
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 |
65424j1 24534r1 |
Quadratic twists by: -4 -3 |