Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480q |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11667794887203840 = 210 · 33 · 5 · 78 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99720,-10916640] |
[a1,a2,a3,a4,a6] |
j |
107096411753241124/11394330944535 |
j-invariant |
L |
1.0820422159246 |
L(r)(E,1)/r! |
Ω |
0.27051055398115 |
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 |
9240n3 73920gt3 55440t3 92400cg3 |
Quadratic twists by: -4 8 -3 5 |