Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880j |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-1463520460800 = -1 · 217 · 3 · 52 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -5 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13441,607105] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:848:1] [48:265:1] |
Generators of the group modulo torsion |
j |
-2048994722882/11165775 |
j-invariant |
L |
7.1649442350839 |
L(r)(E,1)/r! |
Ω |
0.85529354701518 |
Real period |
R |
0.34904898344023 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50880ds1 6360j1 |
Quadratic twists by: -4 8 |