Atkin-Lehner |
2- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
129712t |
Isogeny class |
Conductor |
129712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-257149370368 = -1 · 218 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 0 -2 2 11- 4 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1331,-30734] |
[a1,a2,a3,a4,a6] |
j |
-4348377/4288 |
j-invariant |
L |
1.5201178863468 |
L(r)(E,1)/r! |
Ω |
0.38002966430891 |
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 |
16214a1 129712u1 |
Quadratic twists by: -4 -11 |