Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34720s |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
158284964600000000 = 29 · 58 · 77 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8778000,-10013078852] |
[a1,a2,a3,a4,a6] |
j |
146096741665141976016008/309150321484375 |
j-invariant |
L |
2.4558890509689 |
L(r)(E,1)/r! |
Ω |
0.087710323249159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720y2 69440v2 |
Quadratic twists by: -4 8 |