Atkin-Lehner |
2- 3- 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
92862bk |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
4875056994443328 = 26 · 316 · 74 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8158658,8971703169] |
[a1,a2,a3,a4,a6] |
Generators |
[399:75825:1] |
Generators of the group modulo torsion |
j |
82385791667179539439321/6687320980032 |
j-invariant |
L |
13.575175630974 |
L(r)(E,1)/r! |
Ω |
0.33032975498089 |
Real period |
R |
6.849305087452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30954c1 |
Quadratic twists by: -3 |