Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600fe |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-1923582836736000 = -1 · 217 · 36 · 53 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,28365,1035250] |
[a1,a2,a3,a4,a6] |
Generators |
[15:1210:1] |
Generators of the group modulo torsion |
j |
6761990971/5153632 |
j-invariant |
L |
5.4175943041303 |
L(r)(E,1)/r! |
Ω |
0.29948787491356 |
Real period |
R |
0.90447640087134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4950t2 4400v2 39600fb2 |
Quadratic twists by: -4 -3 5 |