Atkin-Lehner |
2- 3+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6834q |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-59483136 = -1 · 210 · 3 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 2 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-378470,89460323] |
[a1,a2,a3,a4,a6] |
Generators |
[361:23:1] |
Generators of the group modulo torsion |
j |
-5995400011432589616481/59483136 |
j-invariant |
L |
5.5348040800612 |
L(r)(E,1)/r! |
Ω |
0.98778346553309 |
Real period |
R |
0.28016282278395 |
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 |
54672bm1 20502i1 116178bg1 |
Quadratic twists by: -4 -3 17 |