Atkin-Lehner |
2+ 3+ 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570d |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
192512 |
Modular degree for the optimal curve |
Δ |
65304900 = 22 · 33 · 52 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37794,-2818592] |
[a1,a2,a3,a4,a6] |
Generators |
[272:2504:1] |
Generators of the group modulo torsion |
j |
221123544815781243/2418700 |
j-invariant |
L |
5.8209562681021 |
L(r)(E,1)/r! |
Ω |
0.34240752590717 |
Real period |
R |
4.2500206602688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570ba1 |
Quadratic twists by: -3 |