Atkin-Lehner |
2- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8050q |
Isogeny class |
Conductor |
8050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-592480000000000 = -1 · 214 · 510 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22255,-1727753] |
[a1,a2,a3,a4,a6] |
j |
-78013216986489/37918720000 |
j-invariant |
L |
2.6742010133602 |
L(r)(E,1)/r! |
Ω |
0.19101435809716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400ba1 72450bo1 1610a1 56350bm1 |
Quadratic twists by: -4 -3 5 -7 |