Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
13690k |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
118664846416250 = 2 · 54 · 377 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-541012,-153028339] |
[a1,a2,a3,a4,a6] |
Generators |
[298541828:12634798327:140608] |
Generators of the group modulo torsion |
j |
6825481747209/46250 |
j-invariant |
L |
7.0587633817288 |
L(r)(E,1)/r! |
Ω |
0.17603461283086 |
Real period |
R |
10.02468103888 |
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 |
109520s4 123210x4 68450a4 370a3 |
Quadratic twists by: -4 -3 5 37 |