Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
3030n |
Isogeny class |
Conductor |
3030 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
52881984000000 = 212 · 34 · 56 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24213,-1409312] |
[a1,a2,a3,a4,a6] |
j |
1569797865978006601/52881984000000 |
j-invariant |
L |
2.3011130396521 |
L(r)(E,1)/r! |
Ω |
0.38351883994202 |
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 |
24240bc2 96960b2 9090q2 15150z2 |
Quadratic twists by: -4 8 -3 5 |