Atkin-Lehner |
3+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725f |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
557455078125 = 33 · 59 · 11 · 312 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 11+ 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22242,-1270709] |
[a1,a2,a3,a4,a6] |
Generators |
[-1202088:791897:13824] |
Generators of the group modulo torsion |
j |
23076099423/10571 |
j-invariant |
L |
7.5450324049508 |
L(r)(E,1)/r! |
Ω |
0.39094631203879 |
Real period |
R |
9.6497040272714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76725l2 76725g2 |
Quadratic twists by: -3 5 |