Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120k |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
59265943418880 = 211 · 33 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- -1 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235587,-44010846] |
[a1,a2,a3,a4,a6] |
Generators |
[-1917195:230478:6859] |
Generators of the group modulo torsion |
j |
121995126/5 |
j-invariant |
L |
7.380007951419 |
L(r)(E,1)/r! |
Ω |
0.2167019364655 |
Real period |
R |
8.5140078517723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560f1 87120c1 87120i1 |
Quadratic twists by: -4 -3 -11 |