Atkin-Lehner |
2+ 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85550k |
Isogeny class |
Conductor |
85550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-146376050000000 = -1 · 27 · 58 · 292 · 592 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 5 -4 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13175,-2875] |
[a1,a2,a3,a4,a6] |
Generators |
[1:101:1] |
Generators of the group modulo torsion |
j |
647387101895/374722688 |
j-invariant |
L |
4.231941644471 |
L(r)(E,1)/r! |
Ω |
0.34545669490032 |
Real period |
R |
3.0625702945703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85550s1 |
Quadratic twists by: 5 |