Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
1392d |
Isogeny class |
Conductor |
1392 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-12528 = -1 · 24 · 33 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 3 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,-349] |
[a1,a2,a3,a4,a6] |
j |
-4764064000/783 |
j-invariant |
L |
2.3359060777575 |
L(r)(E,1)/r! |
Ω |
0.7786353592525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
696a1 5568u1 4176g1 34800b1 |
Quadratic twists by: -4 8 -3 5 |