Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256f |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-12467767732992 = -1 · 28 · 39 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 11- 13- 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39204,-2992572] |
[a1,a2,a3,a4,a6] |
Generators |
[984:30186:1] |
Generators of the group modulo torsion |
j |
-90326016/169 |
j-invariant |
L |
9.1679219398033 |
L(r)(E,1)/r! |
Ω |
0.16962437779364 |
Real period |
R |
3.3780234227752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113256bg1 113256bd1 |
Quadratic twists by: -3 -11 |