Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840h |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-23775897600 = -1 · 211 · 36 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,240,7200] |
[a1,a2,a3,a4,a6] |
Generators |
[12:108:1] |
Generators of the group modulo torsion |
j |
743389918/11609325 |
j-invariant |
L |
4.8646681519929 |
L(r)(E,1)/r! |
Ω |
0.89106708560264 |
Real period |
R |
0.68242170407165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10920v2 87360fx2 65520r2 109200bw2 |
Quadratic twists by: -4 8 -3 5 |