Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352bj |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-6437781504 = -1 · 214 · 36 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768,-9056] |
[a1,a2,a3,a4,a6] |
Generators |
[5619:80297:27] |
Generators of the group modulo torsion |
j |
-4194304/539 |
j-invariant |
L |
5.9768672114621 |
L(r)(E,1)/r! |
Ω |
0.45021908692676 |
Real period |
R |
6.6377319232037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352ei1 2772g1 4928b1 |
Quadratic twists by: -4 8 -3 |