Atkin-Lehner |
7- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6461c |
Isogeny class |
Conductor |
6461 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-2216123 = -1 · 74 · 13 · 71 |
Discriminant |
Eigenvalues |
0 -1 -2 7- 0 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,21,-69] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
976191488/2216123 |
j-invariant |
L |
2.1008064145353 |
L(r)(E,1)/r! |
Ω |
1.3471286951269 |
Real period |
R |
0.38986743102843 |
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 |
103376m1 58149h1 45227d1 83993b1 |
Quadratic twists by: -4 -3 -7 13 |