Atkin-Lehner |
5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
20335f |
Isogeny class |
Conductor |
20335 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-3337341963469115 = -1 · 5 · 713 · 832 |
Discriminant |
Eigenvalues |
-2 1 5- 7- 1 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,36440,758454] |
[a1,a2,a3,a4,a6] |
Generators |
[7863:697490:1] |
Generators of the group modulo torsion |
j |
45484000833536/28366938635 |
j-invariant |
L |
3.1440798977525 |
L(r)(E,1)/r! |
Ω |
0.27660215880516 |
Real period |
R |
1.4208493126617 |
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 |
101675q1 2905c1 |
Quadratic twists by: 5 -7 |