Atkin-Lehner |
3+ 5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
52065c |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
41409244489143375 = 33 · 53 · 1310 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-154794,21337425] |
[a1,a2,a3,a4,a6] |
Generators |
[61026:36367:216] |
Generators of the group modulo torsion |
j |
15192312840927765243/1533675721820125 |
j-invariant |
L |
8.6237828339494 |
L(r)(E,1)/r! |
Ω |
0.35165163865964 |
Real period |
R |
8.1745510669415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52065a2 |
Quadratic twists by: -3 |