Atkin-Lehner |
2- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
127300k |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-127300000000 = -1 · 28 · 58 · 19 · 67 |
Discriminant |
Eigenvalues |
2- -2 5- 4 -4 -5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6708,-214412] |
[a1,a2,a3,a4,a6] |
j |
-333862480/1273 |
j-invariant |
L |
0.26370319334906 |
L(r)(E,1)/r! |
Ω |
0.26370403971718 |
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 |
127300b1 |
Quadratic twists by: 5 |