Atkin-Lehner |
3+ 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725u |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
198424015453125 = 311 · 56 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11- -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-21383,-987457] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:255:1] |
Generators of the group modulo torsion |
j |
69203793903616/12699136989 |
j-invariant |
L |
4.1255313816145 |
L(r)(E,1)/r! |
Ω |
0.3997982897766 |
Real period |
R |
3.4396773731312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999712308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389d1 |
Quadratic twists by: 5 |