Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680c |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.5007946701288E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-902988,69958512] |
[a1,a2,a3,a4,a6] |
j |
15781142246787/8722841600 |
j-invariant |
L |
2.1059118587208 |
L(r)(E,1)/r! |
Ω |
0.17549265489332 |
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 |
31680cb3 990b3 31680e1 |
Quadratic twists by: -4 8 -3 |