Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150ca |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
1852167508789062500 = 22 · 512 · 79 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-309338,9865792] |
[a1,a2,a3,a4,a6] |
Generators |
[-21612:568181:64] |
Generators of the group modulo torsion |
j |
1780800847561/1007562500 |
j-invariant |
L |
7.8850447787244 |
L(r)(E,1)/r! |
Ω |
0.22712888516048 |
Real period |
R |
4.3395211316341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23030g1 16450k1 |
Quadratic twists by: 5 -7 |