Atkin-Lehner |
3+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
28035a |
Isogeny class |
Conductor |
28035 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-429187815 = -1 · 39 · 5 · 72 · 89 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,187,-188] |
[a1,a2,a3,a4,a6] |
Generators |
[26:134:1] |
Generators of the group modulo torsion |
j |
36926037/21805 |
j-invariant |
L |
3.4568783199344 |
L(r)(E,1)/r! |
Ω |
0.9821909382627 |
Real period |
R |
3.5195583519116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28035b1 |
Quadratic twists by: -3 |