Atkin-Lehner |
2- 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450bd |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
5715360 |
Modular degree for the optimal curve |
Δ |
2.1056007712512E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3499388,-1215725219] |
[a1,a2,a3,a4,a6] |
Generators |
[-26317191385:356131481859:71473375] |
Generators of the group modulo torsion |
j |
485288467954844425/215613518976128 |
j-invariant |
L |
14.930318632382 |
L(r)(E,1)/r! |
Ω |
0.11502560803611 |
Real period |
R |
18.542850572017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450v1 |
Quadratic twists by: 5 |