Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40200bc |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
29017614240000000 = 211 · 32 · 57 · 674 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85408,-5041312] |
[a1,a2,a3,a4,a6] |
Generators |
[527:9828:1] |
Generators of the group modulo torsion |
j |
2153150936498/906800445 |
j-invariant |
L |
6.923944740268 |
L(r)(E,1)/r! |
Ω |
0.2899674360194 |
Real period |
R |
5.9695882021408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400e3 120600e3 8040a3 |
Quadratic twists by: -4 -3 5 |