Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064cb |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-1268296679424 = -1 · 215 · 3 · 232 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 0 6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3681,102849] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-232:1] |
Generators of the group modulo torsion |
j |
-168379496648/38705343 |
j-invariant |
L |
6.5072694614198 |
L(r)(E,1)/r! |
Ω |
0.82189055713936 |
Real period |
R |
0.32989334842573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064ds1 64032q1 |
Quadratic twists by: -4 8 |