Atkin-Lehner |
2- 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86580i |
Isogeny class |
Conductor |
86580 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-473376150000 = -1 · 24 · 39 · 55 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-902937,330243509] |
[a1,a2,a3,a4,a6] |
Generators |
[548:25:1] |
Generators of the group modulo torsion |
j |
-6979889545014717184/40584375 |
j-invariant |
L |
5.8063570174415 |
L(r)(E,1)/r! |
Ω |
0.63769500908696 |
Real period |
R |
0.91052257494207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28860b1 |
Quadratic twists by: -3 |