Atkin-Lehner |
3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
2745c |
Isogeny class |
Conductor |
2745 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5493033225 = 310 · 52 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-563,-3558] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:36:1] |
Generators of the group modulo torsion |
j |
27027009001/7535025 |
j-invariant |
L |
1.9464748479303 |
L(r)(E,1)/r! |
Ω |
1.0008892706465 |
Real period |
R |
1.9447454428931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43920bo2 915b2 13725g2 |
Quadratic twists by: -4 -3 5 |