Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
107736d |
Isogeny class |
Conductor |
107736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
5817744 = 24 · 34 · 672 |
Discriminant |
Eigenvalues |
2- 3- -2 1 -3 1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-424,3221] |
[a1,a2,a3,a4,a6] |
Generators |
[14:15:1] [10:9:1] |
Generators of the group modulo torsion |
j |
117645568/81 |
j-invariant |
L |
12.716643780153 |
L(r)(E,1)/r! |
Ω |
2.3754118912472 |
Real period |
R |
0.66918098644082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107736a1 |
Quadratic twists by: -67 |