Atkin-Lehner |
2- 3- 7+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838s |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.406388490025E+28 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48969486995,4170955725823745] |
[a1,a2,a3,a4,a6] |
Generators |
[138411142235548482114552632246146143996264684186978:-56840345652319457502879615845021983168698817168990871:480619745709202484844323049680496143445225208] |
Generators of the group modulo torsion |
j |
17814467570000574075915171621147625/101596549931755690125512898 |
j-invariant |
L |
9.5469464791862 |
L(r)(E,1)/r! |
Ω |
0.030661008177673 |
Real period |
R |
77.842731166674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29946g2 |
Quadratic twists by: -3 |