Atkin-Lehner |
2- 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330s |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.1927327432453E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-213478896,-1189085430771] |
[a1,a2,a3,a4,a6] |
j |
1075941247023864278903580841729/11927327432452970863724100 |
j-invariant |
L |
1.9761583074402 |
L(r)(E,1)/r! |
Ω |
0.039523166148803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54990n2 91650bj2 |
Quadratic twists by: -3 5 |