Atkin-Lehner |
5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35525m |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-18285228171875 = -1 · 56 · 79 · 29 |
Discriminant |
Eigenvalues |
2 1 5+ 7- 0 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2858,-214931] |
[a1,a2,a3,a4,a6] |
Generators |
[1239327654:10531806751:10941048] |
Generators of the group modulo torsion |
j |
-4096/29 |
j-invariant |
L |
13.122857694394 |
L(r)(E,1)/r! |
Ω |
0.28952961625236 |
Real period |
R |
11.331187690101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1421i1 35525n1 |
Quadratic twists by: 5 -7 |