Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520dd |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-5.994E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4837025,-37475150625] |
[a1,a2,a3,a4,a6] |
Generators |
[31850:639375:8] |
Generators of the group modulo torsion |
j |
-47744008200656797609/2286529541015625000 |
j-invariant |
L |
6.7077709123933 |
L(r)(E,1)/r! |
Ω |
0.040154924582305 |
Real period |
R |
4.1761819889892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35520s3 8880l4 106560fi3 |
Quadratic twists by: -4 8 -3 |