Atkin-Lehner |
2- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
106600m |
Isogeny class |
Conductor |
106600 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
252480 |
Modular degree for the optimal curve |
Δ |
2435682080000 = 28 · 54 · 135 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -3 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12433,524163] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-130:1] |
Generators of the group modulo torsion |
j |
1328514995200/15223013 |
j-invariant |
L |
3.1960219465189 |
L(r)(E,1)/r! |
Ω |
0.81858607575309 |
Real period |
R |
0.13014399909438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999420356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106600c1 |
Quadratic twists by: 5 |