Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800ct |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
24897088000000000 = 215 · 59 · 733 |
Discriminant |
Eigenvalues |
2- 3 5- -3 -3 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-95500,8450000] |
[a1,a2,a3,a4,a6] |
Generators |
[-53850:884375:216] |
Generators of the group modulo torsion |
j |
1505060136/389017 |
j-invariant |
L |
10.336251263803 |
L(r)(E,1)/r! |
Ω |
0.35352569975109 |
Real period |
R |
7.3094057962238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800cu1 58400e1 116800df1 |
Quadratic twists by: -4 8 5 |