Atkin-Lehner |
2+ 5- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
99400h |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-63616000 = -1 · 210 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 1 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,-868] |
[a1,a2,a3,a4,a6] |
Generators |
[17:30:1] [26:108:1] |
Generators of the group modulo torsion |
j |
-4121204/497 |
j-invariant |
L |
15.073978940136 |
L(r)(E,1)/r! |
Ω |
0.6582641498595 |
Real period |
R |
5.7248974227077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99400s1 |
Quadratic twists by: 5 |