Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6834t |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
49 |
Product of Tamagawa factors cp |
deg |
3136 |
Modular degree for the optimal curve |
Δ |
318847104 = 27 · 37 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -1 -7 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-205,-751] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:23:1] |
Generators of the group modulo torsion |
j |
953054410321/318847104 |
j-invariant |
L |
7.0833994751188 |
L(r)(E,1)/r! |
Ω |
1.2956637511707 |
Real period |
R |
0.11157151910054 |
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 |
54672p1 20502q1 116178r1 |
Quadratic twists by: -4 -3 17 |