Atkin-Lehner |
2- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127300b |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-8147200 = -1 · 28 · 52 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -4 5 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268,-1608] |
[a1,a2,a3,a4,a6] |
j |
-333862480/1273 |
j-invariant |
L |
1.7689810014886 |
L(r)(E,1)/r! |
Ω |
0.58966015874892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127300k1 |
Quadratic twists by: 5 |