Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7896m |
Isogeny class |
Conductor |
7896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-21224448 = -1 · 210 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,-256] |
[a1,a2,a3,a4,a6] |
j |
-7086244/20727 |
j-invariant |
L |
1.7530754203311 |
L(r)(E,1)/r! |
Ω |
0.87653771016554 |
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 |
15792d1 63168t1 23688n1 55272w1 |
Quadratic twists by: -4 8 -3 -7 |