Atkin-Lehner |
2- 3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
55632n |
Isogeny class |
Conductor |
55632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8.9388816903732E+26 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1804441120,-29537174175104] |
[a1,a2,a3,a4,a6] |
Generators |
[8771220356734237656977647110731701364496882084209551:1302821289550777957690418961099003141416210838135830226:145718178597180535009016709847023073520271921251] |
Generators of the group modulo torsion |
j |
-158632405678898817898354094881/218234416268876958679698 |
j-invariant |
L |
3.7842429342045 |
L(r)(E,1)/r! |
Ω |
0.011581053374243 |
Real period |
R |
81.690387133111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6954o2 |
Quadratic twists by: -4 |