Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232bp |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
622592 |
Modular degree for the optimal curve |
Δ |
-14652844859326464 = -1 · 217 · 316 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 4 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60991,574623] |
[a1,a2,a3,a4,a6] |
Generators |
[301:6804:1] |
Generators of the group modulo torsion |
j |
191427323574814/111792334437 |
j-invariant |
L |
10.65634269225 |
L(r)(E,1)/r! |
Ω |
0.23877874660268 |
Real period |
R |
0.69732066580536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232ca1 8904f1 |
Quadratic twists by: -4 8 |