Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840bd |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23747746937241600 = 216 · 36 · 52 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-987896,-377531280] |
[a1,a2,a3,a4,a6] |
Generators |
[33818:6216210:1] |
Generators of the group modulo torsion |
j |
26031421522845051769/5797789779600 |
j-invariant |
L |
3.644933026092 |
L(r)(E,1)/r! |
Ω |
0.15143543721342 |
Real period |
R |
6.0173052839592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2730n2 87360gr2 65520du2 109200fy2 |
Quadratic twists by: -4 8 -3 5 |