Atkin-Lehner |
7- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
86681b |
Isogeny class |
Conductor |
86681 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
94248 |
Modular degree for the optimal curve |
Δ |
-499698715481 = -1 · 710 · 29 · 61 |
Discriminant |
Eigenvalues |
1 0 -3 7- 2 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2851,68466] |
[a1,a2,a3,a4,a6] |
Generators |
[750:2342:27] |
Generators of the group modulo torsion |
j |
-9074457/1769 |
j-invariant |
L |
5.3213077815644 |
L(r)(E,1)/r! |
Ω |
0.89240846868401 |
Real period |
R |
5.9628611381171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86681a1 |
Quadratic twists by: -7 |