Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480ca |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
680054538240000 = 217 · 34 · 54 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1549296,-741731904] |
[a1,a2,a3,a4,a6] |
j |
100407751863770656369/166028940000 |
j-invariant |
L |
1.082569934368 |
L(r)(E,1)/r! |
Ω |
0.135321241796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2310q3 73920ie4 55440er4 92400gt4 |
Quadratic twists by: -4 8 -3 5 |