Atkin-Lehner |
2- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
48950s |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
62656000000000 = 215 · 59 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 11+ -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13213,442417] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1039:1] |
Generators of the group modulo torsion |
j |
16327137318409/4009984000 |
j-invariant |
L |
8.9544254230056 |
L(r)(E,1)/r! |
Ω |
0.58371104465947 |
Real period |
R |
0.2556751753835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9790a1 |
Quadratic twists by: 5 |