Atkin-Lehner |
2- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40460m |
Isogeny class |
Conductor |
40460 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
616896 |
Modular degree for the optimal curve |
Δ |
382829568362080000 = 28 · 54 · 73 · 178 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 4 0 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1108700,447977348] |
[a1,a2,a3,a4,a6] |
j |
84398535376/214375 |
j-invariant |
L |
3.6201630265802 |
L(r)(E,1)/r! |
Ω |
0.30168025221509 |
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 |
40460h1 |
Quadratic twists by: 17 |