Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530v |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
154005857280 = 210 · 36 · 5 · 113 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3204,-67454] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:66:1] |
Generators of the group modulo torsion |
j |
2731670512739/115706880 |
j-invariant |
L |
3.0571211997462 |
L(r)(E,1)/r! |
Ω |
0.63624920458322 |
Real period |
R |
0.80081860491592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112530cn1 |
Quadratic twists by: -11 |