Atkin-Lehner |
5+ 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116725g |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-14809484375 = -1 · 56 · 72 · 23 · 292 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,345,5222] |
[a1,a2,a3,a4,a6] |
Generators |
[5:81:1] [14:105:1] |
Generators of the group modulo torsion |
j |
291434247/947807 |
j-invariant |
L |
7.3003856392311 |
L(r)(E,1)/r! |
Ω |
0.88212901356259 |
Real period |
R |
4.137935340006 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4669a1 |
Quadratic twists by: 5 |