Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962ba |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
835200 |
Modular degree for the optimal curve |
Δ |
-1684397337998262272 = -1 · 229 · 7 · 117 · 23 |
Discriminant |
Eigenvalues |
2- -3 0 7+ 11- 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60765,62723301] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-7768:1] |
Generators of the group modulo torsion |
j |
-14006234957625/950798385152 |
j-invariant |
L |
4.601216586121 |
L(r)(E,1)/r! |
Ω |
0.21952236993704 |
Real period |
R |
0.36138148687604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542h1 |
Quadratic twists by: -11 |