Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ch |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-5.4932689268402E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5376948,10204336496] |
[a1,a2,a3,a4,a6] |
j |
89962967236397039/287450726400000 |
j-invariant |
L |
1.5804883861292 |
L(r)(E,1)/r! |
Ω |
0.079024419303669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720el1 1710c1 18240h1 |
Quadratic twists by: -4 8 -3 |