Atkin-Lehner |
2- 3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
39432f |
Isogeny class |
Conductor |
39432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-12050340336 = -1 · 24 · 32 · 313 · 532 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -2 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-380,5877] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-93:1] |
Generators of the group modulo torsion |
j |
-380274232576/753146271 |
j-invariant |
L |
7.9094102773071 |
L(r)(E,1)/r! |
Ω |
1.1303967275132 |
Real period |
R |
0.29154256513056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78864b1 118296e1 |
Quadratic twists by: -4 -3 |