Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78652b |
Isogeny class |
Conductor |
78652 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30663360 |
Modular degree for the optimal curve |
Δ |
1.2747459183523E+25 |
Discriminant |
Eigenvalues |
2- 0 4 7+ 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-771160388,8240828033405] |
[a1,a2,a3,a4,a6] |
j |
143015349373955260416/35945822860997 |
j-invariant |
L |
3.3952592223963 |
L(r)(E,1)/r! |
Ω |
0.069291003098196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1484b1 |
Quadratic twists by: 53 |