Atkin-Lehner |
5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69575m |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-8859050628828125 = -1 · 57 · 118 · 232 |
Discriminant |
Eigenvalues |
1 1 5+ 1 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-174001,28286773] |
[a1,a2,a3,a4,a6] |
Generators |
[131:2717:1] |
Generators of the group modulo torsion |
j |
-173945761/2645 |
j-invariant |
L |
8.4892680644558 |
L(r)(E,1)/r! |
Ω |
0.41277124106856 |
Real period |
R |
0.85693834143032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915h1 69575o1 |
Quadratic twists by: 5 -11 |