Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7104u |
Isogeny class |
Conductor |
7104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-79670280192 = -1 · 219 · 3 · 373 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9473,351999] |
[a1,a2,a3,a4,a6] |
Generators |
[63:96:1] |
Generators of the group modulo torsion |
j |
-358667682625/303918 |
j-invariant |
L |
5.2040926736336 |
L(r)(E,1)/r! |
Ω |
1.0767982642577 |
Real period |
R |
1.2082329732443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7104a2 1776g2 21312bp2 |
Quadratic twists by: -4 8 -3 |