Atkin-Lehner |
7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44891f |
Isogeny class |
Conductor |
44891 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-25215854736611 = -1 · 74 · 113 · 534 |
Discriminant |
Eigenvalues |
0 -1 -3 7- 11+ -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14637,-718290] |
[a1,a2,a3,a4,a6] |
Generators |
[598:14283:1] |
Generators of the group modulo torsion |
j |
-260574279630848/18945044881 |
j-invariant |
L |
2.6428690217012 |
L(r)(E,1)/r! |
Ω |
0.21611810893541 |
Real period |
R |
0.3821505626466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44891a1 |
Quadratic twists by: -11 |