Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240gk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-6246072000 = -1 · 26 · 38 · 53 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3451,79285] |
[a1,a2,a3,a4,a6] |
j |
-71040245879296/97594875 |
j-invariant |
L |
2.6761921784708 |
L(r)(E,1)/r! |
Ω |
1.3380960522734 |
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 |
114240is1 57120bc1 |
Quadratic twists by: -4 8 |