Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200gr |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-2.7207378681003E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -2 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2928000,-3164942500] |
[a1,a2,a3,a4,a6] |
j |
-38081092648960/37321507107 |
j-invariant |
L |
3.5520032723766 |
L(r)(E,1)/r! |
Ω |
0.055500051173482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15300bd1 20400cq1 61200fx1 |
Quadratic twists by: -4 -3 5 |