Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504r |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54447071232 = 213 · 3 · 17 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8824,-315920] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:14:1] [116:456:1] |
Generators of the group modulo torsion |
j |
18552800685817/13292742 |
j-invariant |
L |
5.3208098874203 |
L(r)(E,1)/r! |
Ω |
0.49260379892314 |
Real period |
R |
2.7003496009636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1938f3 62016cu4 46512y4 |
Quadratic twists by: -4 8 -3 |