Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160be |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17786013696000000 = 217 · 37 · 56 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65690856,-204908083344] |
[a1,a2,a3,a4,a6] |
Generators |
[374141104560878262466262526057130:-80314982847724796472212080155783866:7867702621700313354659776841] |
Generators of the group modulo torsion |
j |
7653825103704685955596009/4342288500000 |
j-invariant |
L |
5.6203571037759 |
L(r)(E,1)/r! |
Ω |
0.053030207184334 |
Real period |
R |
52.992034183739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270h2 |
Quadratic twists by: -4 |