Atkin-Lehner |
2- 3- 5- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96570x |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
520956522000 = 24 · 38 · 53 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2012,911] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:199:1] |
Generators of the group modulo torsion |
j |
1235030650489/714618000 |
j-invariant |
L |
12.286088529798 |
L(r)(E,1)/r! |
Ω |
0.7842587125833 |
Real period |
R |
0.6527442376599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987289 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32190h1 |
Quadratic twists by: -3 |