Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160cc |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-652222035394560 = -1 · 218 · 311 · 5 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16707,-1483454] |
[a1,a2,a3,a4,a6] |
Generators |
[1175:40014:1] |
Generators of the group modulo torsion |
j |
-172715635009/218427840 |
j-invariant |
L |
6.3701984512503 |
L(r)(E,1)/r! |
Ω |
0.2004255879321 |
Real period |
R |
3.9729198982124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770p1 12720v1 |
Quadratic twists by: -4 -3 |