Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13690k |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-48085843724178490 = -1 · 2 · 5 · 3710 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33968,-10279971] |
[a1,a2,a3,a4,a6] |
Generators |
[3974435303019609528203150:-93954079701930921887231423:7806993294001261625000] |
Generators of the group modulo torsion |
j |
1689410871/18741610 |
j-invariant |
L |
7.0587633817288 |
L(r)(E,1)/r! |
Ω |
0.17603461283086 |
Real period |
R |
40.098724155521 |
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 |
109520s3 123210x3 68450a3 370a4 |
Quadratic twists by: -4 -3 5 37 |