Atkin-Lehner |
2- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41360n |
Isogeny class |
Conductor |
41360 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
528768 |
Modular degree for the optimal curve |
Δ |
-99528704000000000 = -1 · 221 · 59 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3 5- -1 11+ 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69053,-13476286] |
[a1,a2,a3,a4,a6] |
j |
8890197676520679/24299000000000 |
j-invariant |
L |
6.2307915929289 |
L(r)(E,1)/r! |
Ω |
0.17307754425286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5170c1 |
Quadratic twists by: -4 |