Atkin-Lehner |
2+ 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45408c |
Isogeny class |
Conductor |
45408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-8010788544 = -1 · 26 · 37 · 113 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 5 11+ -6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-646,-7436] |
[a1,a2,a3,a4,a6] |
j |
-466566337216/125168571 |
j-invariant |
L |
0.93378737371781 |
L(r)(E,1)/r! |
Ω |
0.4668936866862 |
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 |
45408j1 90816bi1 |
Quadratic twists by: -4 8 |