Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382r |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
4821961914 = 2 · 34 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11- -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1398,-19946] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:27:1] |
Generators of the group modulo torsion |
j |
2565726409/40986 |
j-invariant |
L |
6.1770713528436 |
L(r)(E,1)/r! |
Ω |
0.7815927324239 |
Real period |
R |
1.9757960561956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1518e1 |
Quadratic twists by: -7 |