Atkin-Lehner |
2- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
113600cm |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1789555000000 = -1 · 26 · 57 · 713 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 0 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9533,367187] |
[a1,a2,a3,a4,a6] |
Generators |
[2154:8875:27] |
Generators of the group modulo torsion |
j |
-95820414976/1789555 |
j-invariant |
L |
9.93096087416 |
L(r)(E,1)/r! |
Ω |
0.83740112005019 |
Real period |
R |
1.9765439814815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010708 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600l2 28400v2 22720bf2 |
Quadratic twists by: -4 8 5 |