Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8470bh |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-67760000 = -1 · 27 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 11- 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12,399] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:21:1] |
Generators of the group modulo torsion |
j |
-1459161/560000 |
j-invariant |
L |
4.3816314651912 |
L(r)(E,1)/r! |
Ω |
1.5867246530667 |
Real period |
R |
0.098622554165331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67760cd1 76230bc1 42350p1 59290dj1 |
Quadratic twists by: -4 -3 5 -7 |