Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ha |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-22011287961600 = -1 · 224 · 32 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5215,-174783] |
[a1,a2,a3,a4,a6] |
j |
59822347031/83966400 |
j-invariant |
L |
1.44276616923 |
L(r)(E,1)/r! |
Ω |
0.36069151088882 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ex1 28560dh1 |
Quadratic twists by: -4 8 |