Atkin-Lehner |
2+ 3+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
114552a |
Isogeny class |
Conductor |
114552 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
396288 |
Modular degree for the optimal curve |
Δ |
-2193815315137536 = -1 · 210 · 39 · 372 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 1 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102627,-12853458] |
[a1,a2,a3,a4,a6] |
j |
-5930855791308/108845083 |
j-invariant |
L |
3.1973677075835 |
L(r)(E,1)/r! |
Ω |
0.13322366954795 |
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 |
114552d1 |
Quadratic twists by: -3 |