Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466bi |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-59248766304 = -1 · 25 · 33 · 74 · 134 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 1 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3023,65783] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-98:1] |
Generators of the group modulo torsion |
j |
-47113735347/913952 |
j-invariant |
L |
6.6755737764107 |
L(r)(E,1)/r! |
Ω |
1.1120745841626 |
Real period |
R |
0.15007028016555 |
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 |
91728cf1 11466a1 11466bk1 |
Quadratic twists by: -4 -3 -7 |