Atkin-Lehner |
2+ 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792k |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-2176881984 = -1 · 26 · 32 · 194 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,228,-1890] |
[a1,a2,a3,a4,a6] |
j |
20391167168/34013781 |
j-invariant |
L |
1.5404728331964 |
L(r)(E,1)/r! |
Ω |
0.77023625047457 |
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 |
105792n1 52896d2 |
Quadratic twists by: -4 8 |