Atkin-Lehner |
3- 5+ 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
79605c |
Isogeny class |
Conductor |
79605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
181350140625 = 38 · 56 · 29 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2610,-46409] |
[a1,a2,a3,a4,a6] |
Generators |
[14070:122653:125] |
Generators of the group modulo torsion |
j |
2697809628961/248765625 |
j-invariant |
L |
5.4890871354324 |
L(r)(E,1)/r! |
Ω |
0.67187489419891 |
Real period |
R |
8.1698053914536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26535c1 |
Quadratic twists by: -3 |