Atkin-Lehner |
5+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59675h |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
6013800 |
Modular degree for the optimal curve |
Δ |
-3.7377630221235E+22 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 11- 4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11169548,-17112546012] |
[a1,a2,a3,a4,a6] |
j |
-6164396124629664634654720/1495105208849407632323 |
j-invariant |
L |
1.1007737765831 |
L(r)(E,1)/r! |
Ω |
0.040769399235996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
59675n2 |
Quadratic twists by: 5 |