Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720db |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-5.3409876830847E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1639280,11147843028] |
[a1,a2,a3,a4,a6] |
j |
-118938771937643854321/13039520710656000000 |
j-invariant |
L |
2.2088503559056 |
L(r)(E,1)/r! |
Ω |
0.092035431479624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590r1 |
Quadratic twists by: -4 |