Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
34080be |
Isogeny class |
Conductor |
34080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-8179200000 = -1 · 212 · 32 · 55 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 -1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-587581,173164619] |
[a1,a2,a3,a4,a6] |
j |
-5477315219811126784/1996875 |
j-invariant |
L |
3.1440286365658 |
L(r)(E,1)/r! |
Ω |
0.78600715914321 |
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 |
34080c1 68160r1 102240q1 |
Quadratic twists by: -4 8 -3 |