Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200eo |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1240688544972800 = -1 · 228 · 52 · 75 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3393,-1695263] |
[a1,a2,a3,a4,a6] |
Generators |
[173105:6431744:125] |
Generators of the group modulo torsion |
j |
-659361145/189314048 |
j-invariant |
L |
5.809598759264 |
L(r)(E,1)/r! |
Ω |
0.21697890090198 |
Real period |
R |
6.6937369891181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999965507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200bn1 30800ba1 123200hq2 |
Quadratic twists by: -4 8 5 |