Atkin-Lehner |
2+ 3+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850j |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
13101562500 = 22 · 3 · 59 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4450,-116000] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:31:1] [129:1151:1] |
Generators of the group modulo torsion |
j |
4991443829/6708 |
j-invariant |
L |
7.0073755571086 |
L(r)(E,1)/r! |
Ω |
0.58456376810337 |
Real period |
R |
11.987358675992 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83850cn1 |
Quadratic twists by: 5 |