Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110bz |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
16227050112000 = 210 · 37 · 53 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6737480,-6734036023] |
[a1,a2,a3,a4,a6] |
j |
98610250747761380828647/47309184000 |
j-invariant |
L |
2.8112303759555 |
L(r)(E,1)/r! |
Ω |
0.093707679198515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330u1 95550ek1 19110ct1 |
Quadratic twists by: -3 5 -7 |