Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5684c |
Isogeny class |
Conductor |
5684 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
17825024 = 28 · 74 · 29 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 0 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115117,-15071841] |
[a1,a2,a3,a4,a6] |
Generators |
[-5298:1:27] |
Generators of the group modulo torsion |
j |
274481923760128/29 |
j-invariant |
L |
1.9361522955475 |
L(r)(E,1)/r! |
Ω |
0.25918769204753 |
Real period |
R |
2.4900260248372 |
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 |
22736s2 90944d2 51156e2 5684k2 |
Quadratic twists by: -4 8 -3 -7 |