Atkin-Lehner |
2+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18544d |
Isogeny class |
Conductor |
18544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5637376 = 28 · 192 · 61 |
Discriminant |
Eigenvalues |
2+ 0 2 4 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-319,2190] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:60:1] |
Generators of the group modulo torsion |
j |
14023479888/22021 |
j-invariant |
L |
6.2474513856088 |
L(r)(E,1)/r! |
Ω |
2.4028101899703 |
Real period |
R |
2.6000603009287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9272b2 74176j2 |
Quadratic twists by: -4 8 |