Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
3690l |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
113047670250000 = 24 · 38 · 56 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114804,14992128] |
[a1,a2,a3,a4,a6] |
j |
229545811016693569/155072250000 |
j-invariant |
L |
1.1729701011506 |
L(r)(E,1)/r! |
Ω |
0.58648505057528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
29520cf3 118080bv3 1230h3 18450bx3 |
Quadratic twists by: -4 8 -3 5 |