Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600hj |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-8674025472000000000 = -1 · 222 · 32 · 59 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,511167,-16905537] |
[a1,a2,a3,a4,a6] |
Generators |
[47:2688:1] |
Generators of the group modulo torsion |
j |
28849701763/16941456 |
j-invariant |
L |
7.1690913277099 |
L(r)(E,1)/r! |
Ω |
0.13633091397567 |
Real period |
R |
2.1910814645305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600bn2 8400bv2 100800pr2 33600fk2 |
Quadratic twists by: -4 8 -3 5 |