Atkin-Lehner |
2- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
71744i |
Isogeny class |
Conductor |
71744 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-391187316736 = -1 · 214 · 193 · 592 |
Discriminant |
Eigenvalues |
2- 0 1 3 -1 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2672,-61088] |
[a1,a2,a3,a4,a6] |
Generators |
[546:2183:8] |
Generators of the group modulo torsion |
j |
-128769537024/23876179 |
j-invariant |
L |
7.7766854568659 |
L(r)(E,1)/r! |
Ω |
0.32871004553704 |
Real period |
R |
3.9430320445793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71744a1 17936a1 |
Quadratic twists by: -4 8 |