Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fj |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7464960 |
Modular degree for the optimal curve |
Δ |
-9.4902444339967E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ 2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33006113,-72976524863] |
[a1,a2,a3,a4,a6] |
Generators |
[963252721673:26071873601536:138188413] |
Generators of the group modulo torsion |
j |
-606773969327363726065/14480963796992 |
j-invariant |
L |
5.7590938589329 |
L(r)(E,1)/r! |
Ω |
0.031493457380636 |
Real period |
R |
15.238863184945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200r1 30800bs1 123200gr1 |
Quadratic twists by: -4 8 5 |