Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
6800s |
Isogeny class |
Conductor |
6800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-804945920000000 = -1 · 221 · 57 · 173 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 0 -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8992,1327988] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:850:1] |
Generators of the group modulo torsion |
j |
1256216039/12577280 |
j-invariant |
L |
4.8808326786035 |
L(r)(E,1)/r! |
Ω |
0.36949431936045 |
Real period |
R |
0.55039554769652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
850k2 27200cj2 61200ex2 1360i2 |
Quadratic twists by: -4 8 -3 5 |