Atkin-Lehner |
2- 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300bb |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-201047508000000 = -1 · 28 · 35 · 56 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 3 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,692,682388] |
[a1,a2,a3,a4,a6] |
j |
9148592/50261877 |
j-invariant |
L |
4.442389391633 |
L(r)(E,1)/r! |
Ω |
0.44423895411963 |
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 |
4692a1 |
Quadratic twists by: 5 |