Atkin-Lehner |
2- 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6902c |
Isogeny class |
Conductor |
6902 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-107654414336 = -1 · 218 · 72 · 172 · 29 |
Discriminant |
Eigenvalues |
2- -3 -3 7+ -3 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-459,16347] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-132:1] [-29:82:1] |
Generators of the group modulo torsion |
j |
-10672703078913/107654414336 |
j-invariant |
L |
4.3526525449196 |
L(r)(E,1)/r! |
Ω |
0.90167350814477 |
Real period |
R |
0.067045895240665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55216s1 62118m1 48314t1 117334q1 |
Quadratic twists by: -4 -3 -7 17 |