Atkin-Lehner |
2+ 3+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57528a |
Isogeny class |
Conductor |
57528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
93885696 = 28 · 33 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 -5 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-708,7236] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:102:1] [10:34:1] |
Generators of the group modulo torsion |
j |
5678318592/13583 |
j-invariant |
L |
9.2493265526698 |
L(r)(E,1)/r! |
Ω |
1.9066043196523 |
Real period |
R |
0.30320025166361 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115056b1 57528g1 |
Quadratic twists by: -4 -3 |