Atkin-Lehner |
2+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42224b |
Isogeny class |
Conductor |
42224 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-13857004086016 = -1 · 28 · 7 · 13 · 296 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ -2 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7644,-316004] |
[a1,a2,a3,a4,a6] |
Generators |
[567:13340:1] |
Generators of the group modulo torsion |
j |
-192975687043792/54128922211 |
j-invariant |
L |
2.7350989439655 |
L(r)(E,1)/r! |
Ω |
0.25162783088478 |
Real period |
R |
3.6232067207376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21112f2 |
Quadratic twists by: -4 |