Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160cc |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1868985313689600 = 215 · 316 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-321987,-70293566] |
[a1,a2,a3,a4,a6] |
Generators |
[2713763:82690470:2197] |
Generators of the group modulo torsion |
j |
1236377943972289/625919400 |
j-invariant |
L |
6.3701984512503 |
L(r)(E,1)/r! |
Ω |
0.2004255879321 |
Real period |
R |
7.9458397964249 |
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 |
4770p2 12720v2 |
Quadratic twists by: -4 -3 |