Atkin-Lehner |
5- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
34675c |
Isogeny class |
Conductor |
34675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3120 |
Modular degree for the optimal curve |
Δ |
-866875 = -1 · 54 · 19 · 73 |
Discriminant |
Eigenvalues |
0 -2 5- 2 4 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,17,-31] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] |
Generators of the group modulo torsion |
j |
819200/1387 |
j-invariant |
L |
3.4543864909276 |
L(r)(E,1)/r! |
Ω |
1.4777535857936 |
Real period |
R |
0.77919767863327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34675b1 |
Quadratic twists by: 5 |