Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400cs |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
41370624000000 = 216 · 32 · 56 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35808,-2601612] |
[a1,a2,a3,a4,a6] |
Generators |
[96698:30069600:1] |
Generators of the group modulo torsion |
j |
79340706073/646416 |
j-invariant |
L |
7.9019124200663 |
L(r)(E,1)/r! |
Ω |
0.34722975349334 |
Real period |
R |
5.689253540677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002664 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10050v2 3216f2 |
Quadratic twists by: -4 5 |