Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8470w |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-2310788737180 = -1 · 22 · 5 · 72 · 119 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11+ 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6073,-194763] |
[a1,a2,a3,a4,a6] |
Generators |
[9576861:11098770:103823] |
Generators of the group modulo torsion |
j |
-10503459/980 |
j-invariant |
L |
6.0823468492756 |
L(r)(E,1)/r! |
Ω |
0.26898318052989 |
Real period |
R |
11.306184344489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67760x1 76230cf1 42350b1 59290dw1 |
Quadratic twists by: -4 -3 5 -7 |