Atkin-Lehner |
2+ 7- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
6314d |
Isogeny class |
Conductor |
6314 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-84910672 = -1 · 24 · 7 · 11 · 413 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 11+ 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-116,642] |
[a1,a2,a3,a4,a6] |
Generators |
[5:11:1] |
Generators of the group modulo torsion |
j |
-170492253625/84910672 |
j-invariant |
L |
2.0084467400109 |
L(r)(E,1)/r! |
Ω |
1.7873621029318 |
Real period |
R |
1.6855398830906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
50512f1 56826bf1 44198h1 69454n1 |
Quadratic twists by: -4 -3 -7 -11 |