Atkin-Lehner |
2- 3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576bx |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-6972057759744 = -1 · 212 · 33 · 75 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 3 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1141,127523] |
[a1,a2,a3,a4,a6] |
j |
-40142209024/1702162539 |
j-invariant |
L |
3.7237582969149 |
L(r)(E,1)/r! |
Ω |
0.62062645874142 |
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 |
7161d1 |
Quadratic twists by: -4 |