Atkin-Lehner |
3- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
20313h |
Isogeny class |
Conductor |
20313 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-100266166467 = -1 · 39 · 372 · 612 |
Discriminant |
Eigenvalues |
1 3- 0 -4 2 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,873,11340] |
[a1,a2,a3,a4,a6] |
Generators |
[4:120:1] [1224:42210:1] |
Generators of the group modulo torsion |
j |
100869311375/137539323 |
j-invariant |
L |
8.2139174844333 |
L(r)(E,1)/r! |
Ω |
0.71786721157033 |
Real period |
R |
5.7210563123965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6771c2 |
Quadratic twists by: -3 |