Atkin-Lehner |
2+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
392d |
Isogeny class |
Conductor |
392 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-843308032 = -1 · 210 · 77 |
Discriminant |
Eigenvalues |
2+ -2 4 7- 0 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,1392] |
[a1,a2,a3,a4,a6] |
j |
-4/7 |
j-invariant |
L |
1.2749543702533 |
L(r)(E,1)/r! |
Ω |
1.2749543702533 |
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 |
784e1 3136j1 3528ba1 9800bg1 |
Quadratic twists by: -4 8 -3 5 |