Atkin-Lehner |
3+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
115989b |
Isogeny class |
Conductor |
115989 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
140800 |
Modular degree for the optimal curve |
Δ |
-983271577887 = -1 · 32 · 23 · 416 |
Discriminant |
Eigenvalues |
1 3+ 0 2 -4 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-875,-49104] |
[a1,a2,a3,a4,a6] |
Generators |
[6044080:42714608:79507] |
Generators of the group modulo torsion |
j |
-15625/207 |
j-invariant |
L |
6.340243837115 |
L(r)(E,1)/r! |
Ω |
0.37573281078887 |
Real period |
R |
8.4371707078673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000168401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69a1 |
Quadratic twists by: 41 |