Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304fi |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5775836950560768 = 219 · 3 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1307777,576061473] |
[a1,a2,a3,a4,a6] |
Generators |
[2263:95920:1] |
Generators of the group modulo torsion |
j |
8020417344913/187278 |
j-invariant |
L |
5.4449927148713 |
L(r)(E,1)/r! |
Ω |
0.39484257308471 |
Real period |
R |
6.8951438608634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304dh4 30576dc4 17472cu3 |
Quadratic twists by: -4 8 -7 |