Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466m |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-153409517568216 = -1 · 23 · 39 · 78 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9711,-698139] |
[a1,a2,a3,a4,a6] |
Generators |
[429:8385:1] |
Generators of the group modulo torsion |
j |
-24100657/36504 |
j-invariant |
L |
2.2073557754317 |
L(r)(E,1)/r! |
Ω |
0.22819950387647 |
Real period |
R |
0.40303837540087 |
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 |
91728dr1 3822bc1 11466r1 |
Quadratic twists by: -4 -3 -7 |