Atkin-Lehner |
2+ 3- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330q |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.3496439226073E+34 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-216831555009,-36923096985997635] |
[a1,a2,a3,a4,a6] |
Generators |
[3754057539707752486534506217086685633578164283568572527767345848516498948049564840151799510939682729599208656512354:77648768931458740179021355665413397801377948888796247979655359315236622909701125230000869797926174260523468501276966223:8774292613263334378299127948652631629861941095412407680274428243961332379673566883461851360625210317935769] |
Generators of the group modulo torsion |
j |
1546548830510178565952665436216997649/87100739679112598139894654566400 |
j-invariant |
L |
4.9364385570257 |
L(r)(E,1)/r! |
Ω |
0.0070208840461406 |
Real period |
R |
175.77695787966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31110w2 |
Quadratic twists by: -3 |