Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992bn |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2236416 |
Modular degree for the optimal curve |
Δ |
-5200725727065931776 = -1 · 231 · 313 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 3 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-721164,-260006416] |
[a1,a2,a3,a4,a6] |
j |
-217049294532673/27214258176 |
j-invariant |
L |
1.3015065666708 |
L(r)(E,1)/r! |
Ω |
0.081344094453749 |
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 |
124992gy1 3906d1 41664f1 |
Quadratic twists by: -4 8 -3 |