Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506l |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-7617876208366842 = -1 · 2 · 38 · 117 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 11- -4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-35335,4913324] |
[a1,a2,a3,a4,a6] |
Generators |
[76:1595:1] |
Generators of the group modulo torsion |
j |
-2754008142913/4300092522 |
j-invariant |
L |
5.1063109690746 |
L(r)(E,1)/r! |
Ω |
0.37419325116566 |
Real period |
R |
0.42644333452432 |
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 |
67518br1 2046h1 |
Quadratic twists by: -3 -11 |