Atkin-Lehner |
2- 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440cd |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
343061101685452800 = 212 · 3 · 52 · 138 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8771120,10001288832] |
[a1,a2,a3,a4,a6] |
Generators |
[47118:67490:27] |
Generators of the group modulo torsion |
j |
18219186097592883464881/83755151778675 |
j-invariant |
L |
6.83141358738 |
L(r)(E,1)/r! |
Ω |
0.26804542901173 |
Real period |
R |
6.3715072646442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920489 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7215j5 |
Quadratic twists by: -4 |