Atkin-Lehner |
5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
34675b |
Isogeny class |
Conductor |
34675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15600 |
Modular degree for the optimal curve |
Δ |
-13544921875 = -1 · 510 · 19 · 73 |
Discriminant |
Eigenvalues |
0 2 5+ -2 4 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,417,-4682] |
[a1,a2,a3,a4,a6] |
Generators |
[231344:1477471:6859] |
Generators of the group modulo torsion |
j |
819200/1387 |
j-invariant |
L |
6.4339448186583 |
L(r)(E,1)/r! |
Ω |
0.66087149436573 |
Real period |
R |
9.7355459775631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34675c1 |
Quadratic twists by: 5 |