Atkin-Lehner |
2+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113230c |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
620524800 |
Modular degree for the optimal curve |
Δ |
-2.5306844228504E+31 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 -3 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-286288005470,-58959796383909004] |
[a1,a2,a3,a4,a6] |
j |
-537617079035035624542262006188801/5242976100463867187500000 |
j-invariant |
L |
0.17622218949682 |
L(r)(E,1)/r! |
Ω |
0.0032633865305319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710k1 |
Quadratic twists by: 13 |