Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33320l |
Isogeny class |
Conductor |
33320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
-43026629927680 = -1 · 28 · 5 · 711 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -2 -7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-87481,-9993285] |
[a1,a2,a3,a4,a6] |
Generators |
[590:12005:1] |
Generators of the group modulo torsion |
j |
-2458338528256/1428595 |
j-invariant |
L |
2.5055227741858 |
L(r)(E,1)/r! |
Ω |
0.13879556000026 |
Real period |
R |
2.2564867836742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640f1 4760d1 |
Quadratic twists by: -4 -7 |