Atkin-Lehner |
2+ 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552bh |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-860502804037632 = -1 · 215 · 38 · 7 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -1 2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30913,2513279] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:1992:1] |
Generators of the group modulo torsion |
j |
-99703702853000/26260461549 |
j-invariant |
L |
7.6945783527645 |
L(r)(E,1)/r! |
Ω |
0.47545535996225 |
Real period |
R |
0.16857914463388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552p1 55776a1 |
Quadratic twists by: -4 8 |