Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3690d |
Isogeny class |
Conductor |
3690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5275156120272900 = 22 · 322 · 52 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8070030,8825922400] |
[a1,a2,a3,a4,a6] |
j |
79729981196639723693281/7236153800100 |
j-invariant |
L |
0.65928276677329 |
L(r)(E,1)/r! |
Ω |
0.32964138338664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29520bh6 118080bx6 1230f5 18450bh5 |
Quadratic twists by: -4 8 -3 5 |