Atkin-Lehner |
2- 3- 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450cm |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
3168000 |
Modular degree for the optimal curve |
Δ |
-8.0810551757812E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 0 13- -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5466563,-4938916383] |
[a1,a2,a3,a4,a6] |
j |
-1156236736071396407401/5171875312500000 |
j-invariant |
L |
7.4031406458846 |
L(r)(E,1)/r! |
Ω |
0.049354270978702 |
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 |
12090f1 |
Quadratic twists by: 5 |