Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68355n |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.8653683706974E+23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16263630,5092280325] |
[a1,a2,a3,a4,a6] |
Generators |
[42950462661076308:11224475892352621527:102845289222208] |
Generators of the group modulo torsion |
j |
5547028345421077871/3340909367578125 |
j-invariant |
L |
5.5979184105537 |
L(r)(E,1)/r! |
Ω |
0.059762917313181 |
Real period |
R |
23.417190221001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785q3 9765l4 |
Quadratic twists by: -3 -7 |