Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952bb |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-841713135653585664 = -1 · 28 · 39 · 76 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -1 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,225204,16009868] |
[a1,a2,a3,a4,a6] |
Generators |
[-75215441:466587261:1092727] |
Generators of the group modulo torsion |
j |
57530252288/38336139 |
j-invariant |
L |
8.7858935029161 |
L(r)(E,1)/r! |
Ω |
0.17686279236487 |
Real period |
R |
12.419081191368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59976n1 39984j1 2448h1 |
Quadratic twists by: -4 -3 -7 |