Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9240w |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
147609025280640000 = 210 · 38 · 54 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32016600,-69717923748] |
[a1,a2,a3,a4,a6] |
j |
3544454449806874081077604/144149438750625 |
j-invariant |
L |
2.0309803912287 |
L(r)(E,1)/r! |
Ω |
0.063468137225898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480bc4 73920da4 27720l4 46200bf4 |
Quadratic twists by: -4 8 -3 5 |