Atkin-Lehner |
2- 5+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550bc |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
318577343750000 = 24 · 511 · 173 · 83 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -1 1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28713,-1666583] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:469:1] |
Generators of the group modulo torsion |
j |
167548422911689/20388950000 |
j-invariant |
L |
7.0220684144441 |
L(r)(E,1)/r! |
Ω |
0.36968166662011 |
Real period |
R |
0.79145440614482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14110b1 |
Quadratic twists by: 5 |