Atkin-Lehner |
2- 5+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450be |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1257577343750 = -1 · 2 · 58 · 73 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -3 13- -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-75088,7913542] |
[a1,a2,a3,a4,a6] |
Generators |
[1278:-335:8] |
Generators of the group modulo torsion |
j |
-2996509495178809/80484950 |
j-invariant |
L |
10.465241374874 |
L(r)(E,1)/r! |
Ω |
0.80018438957845 |
Real period |
R |
3.2696343180323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17290c1 |
Quadratic twists by: 5 |