Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ho |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-3.4193539072E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-375500,-294950000] |
[a1,a2,a3,a4,a6] |
Generators |
[14304:1709092:1] |
Generators of the group modulo torsion |
j |
-11436248277/66784256 |
j-invariant |
L |
6.5669986455544 |
L(r)(E,1)/r! |
Ω |
0.086382164726231 |
Real period |
R |
6.3352184405118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200cl1 30800cq1 123200hb1 |
Quadratic twists by: -4 8 5 |