Atkin-Lehner |
2- 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36120y |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
deg |
15360000 |
Modular degree for the optimal curve |
Δ |
-2.2233317081167E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-373005540,2864241684612] |
[a1,a2,a3,a4,a6] |
j |
-22419689542901511880244016976/868488948483070623384375 |
j-invariant |
L |
2.7785256750335 |
L(r)(E,1)/r! |
Ω |
0.055570513500528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72240z1 108360m1 |
Quadratic twists by: -4 -3 |