Atkin-Lehner |
2- 3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113100r |
Isogeny class |
Conductor |
113100 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-127916100000000 = -1 · 28 · 32 · 58 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14508,-870012] |
[a1,a2,a3,a4,a6] |
Generators |
[288:-4350:1] |
Generators of the group modulo torsion |
j |
-84433792336/31979025 |
j-invariant |
L |
5.7595294135864 |
L(r)(E,1)/r! |
Ω |
0.21348089559111 |
Real period |
R |
1.1241305281316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620d2 |
Quadratic twists by: 5 |