Atkin-Lehner |
2- 3+ 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850ce |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
-198661612500000 = -1 · 25 · 37 · 58 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -2 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,14112,-202719] |
[a1,a2,a3,a4,a6] |
j |
795659875295/508573728 |
j-invariant |
L |
3.2387481554346 |
L(r)(E,1)/r! |
Ω |
0.32387481620767 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850n1 |
Quadratic twists by: 5 |