Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480g |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
618240 |
Modular degree for the optimal curve |
Δ |
-1.4498049539358E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1762201,-1070070299] |
[a1,a2,a3,a4,a6] |
Generators |
[230583758191206020905487774821291525329636:131938308495353769756423308511577680080550487:704264564179650545529470693701854497] |
Generators of the group modulo torsion |
j |
-2364015519613191629824/566330060131171875 |
j-invariant |
L |
4.38195866061 |
L(r)(E,1)/r! |
Ω |
0.064697754168135 |
Real period |
R |
67.729687327667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9240ba1 73920ia1 55440bk1 92400ca1 |
Quadratic twists by: -4 8 -3 5 |