Atkin-Lehner |
2+ 3+ 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450u |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3427200 |
Modular degree for the optimal curve |
Δ |
-3.168597388275E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11- -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61200,270864000] |
[a1,a2,a3,a4,a6] |
j |
-12979531820501/16223218627968 |
j-invariant |
L |
0.67142153404008 |
L(r)(E,1)/r! |
Ω |
0.1678552222723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450co1 |
Quadratic twists by: 5 |