Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960g |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3326400000000 = 212 · 33 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11921,-489279] |
[a1,a2,a3,a4,a6] |
j |
45744434023744/812109375 |
j-invariant |
L |
1.8295582153938 |
L(r)(E,1)/r! |
Ω |
0.45738955384872 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960t3 73920hn1 110880dl3 |
Quadratic twists by: -4 8 -3 |