Atkin-Lehner |
2- 13+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20332a |
Isogeny class |
Conductor |
20332 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
141792 |
Modular degree for the optimal curve |
Δ |
-106774884479744 = -1 · 28 · 137 · 172 · 23 |
Discriminant |
Eigenvalues |
2- -3 3 -4 3 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2744,494068] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:697:1] |
Generators of the group modulo torsion |
j |
8925572210688/417089392499 |
j-invariant |
L |
3.0830257851428 |
L(r)(E,1)/r! |
Ω |
0.45146269375807 |
Real period |
R |
3.4144856571415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81328m1 |
Quadratic twists by: -4 |