Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624t |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-8.0212397290926E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,989608,-204852192] |
[a1,a2,a3,a4,a6] |
Generators |
[10720732834:1023240224565:1191016] |
Generators of the group modulo torsion |
j |
21684668893052/16228613817 |
j-invariant |
L |
10.889394279199 |
L(r)(E,1)/r! |
Ω |
0.10782633748721 |
Real period |
R |
12.623764412863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021741 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9048p4 |
Quadratic twists by: 13 |