Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272m |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
157302091010469888 = 212 · 318 · 73 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4766844,-4005803072] |
[a1,a2,a3,a4,a6] |
Generators |
[285234129184:-181430746446600:704969] |
Generators of the group modulo torsion |
j |
4011705594213827392/52680152007 |
j-invariant |
L |
6.2885685702491 |
L(r)(E,1)/r! |
Ω |
0.10217441551065 |
Real period |
R |
15.386847428536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34272t4 68544eb1 11424s3 |
Quadratic twists by: -4 8 -3 |