Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
123704c |
Isogeny class |
Conductor |
123704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2389510239081039872 = 211 · 72 · 478 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -2 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4583675,-3776457802] |
[a1,a2,a3,a4,a6] |
Generators |
[6612104245677590:-8284195585867267236:4212283375] |
Generators of the group modulo torsion |
j |
482445281250/108241 |
j-invariant |
L |
4.8012745503284 |
L(r)(E,1)/r! |
Ω |
0.10318152623399 |
Real period |
R |
23.266153819478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2632b2 |
Quadratic twists by: -47 |