Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35520dd |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
1.47161235456E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12509345,-16933281057] |
[a1,a2,a3,a4,a6] |
Generators |
[-1919:3000:1] |
Generators of the group modulo torsion |
j |
825824067562227826729/5613755625000000 |
j-invariant |
L |
6.7077709123933 |
L(r)(E,1)/r! |
Ω |
0.08030984916461 |
Real period |
R |
2.0880909944946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35520s2 8880l2 106560fi2 |
Quadratic twists by: -4 8 -3 |