Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640c |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
319939200000 = 210 · 33 · 55 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196936,-33572864] |
[a1,a2,a3,a4,a6] |
j |
824899990643380516/312440625 |
j-invariant |
L |
1.8130429382493 |
L(r)(E,1)/r! |
Ω |
0.2266303672837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320w1 115920bh1 |
Quadratic twists by: -4 -3 |