Atkin-Lehner |
5+ 7- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116725g |
Isogeny class |
Conductor |
116725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
575527203125 = 56 · 74 · 232 · 29 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- -2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3280,63222] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:290:1] [-21:360:1] |
Generators of the group modulo torsion |
j |
249689960073/36833741 |
j-invariant |
L |
7.3003856392311 |
L(r)(E,1)/r! |
Ω |
0.88212901356259 |
Real period |
R |
1.0344838350015 |
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 |
4669a2 |
Quadratic twists by: 5 |