Atkin-Lehner |
2+ 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
49800h |
Isogeny class |
Conductor |
49800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
66240 |
Modular degree for the optimal curve |
Δ |
-2066700000000 = -1 · 28 · 3 · 58 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -2 3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5833,-182963] |
[a1,a2,a3,a4,a6] |
Generators |
[267:4150:1] [101:498:1] |
Generators of the group modulo torsion |
j |
-219520000/20667 |
j-invariant |
L |
8.1514692383939 |
L(r)(E,1)/r! |
Ω |
0.27168863791917 |
Real period |
R |
1.2501242385441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99600bi1 49800be1 |
Quadratic twists by: -4 5 |