Atkin-Lehner |
2+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400f |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-34554293158707200 = -1 · 215 · 52 · 596 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -1 6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43393,-9581983] |
[a1,a2,a3,a4,a6] |
Generators |
[299994373:16077889636:103823] |
Generators of the group modulo torsion |
j |
-11030693209160/42180533641 |
j-invariant |
L |
5.3901000714641 |
L(r)(E,1)/r! |
Ω |
0.15123761193032 |
Real period |
R |
8.9099860903294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400q1 47200i1 94400bd1 |
Quadratic twists by: -4 8 5 |