Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370c |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15925248 |
Modular degree for the optimal curve |
Δ |
-1.4860914061792E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12534647,-7222370747] |
[a1,a2,a3,a4,a6] |
Generators |
[191423962228378311940590754:-49928761866168674897565906545:2832317733038502801113] |
Generators of the group modulo torsion |
j |
9023321954633914439/6156756739584000 |
j-invariant |
L |
4.5688381613533 |
L(r)(E,1)/r! |
Ω |
0.058331032657601 |
Real period |
R |
39.163014408983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610t1 |
Quadratic twists by: 17 |