Atkin-Lehner |
2+ 3- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450w |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-26189088750000000 = -1 · 27 · 33 · 510 · 114 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,64049,4663298] |
[a1,a2,a3,a4,a6] |
Generators |
[2318:54013:8] |
Generators of the group modulo torsion |
j |
2975572088975/2681762688 |
j-invariant |
L |
6.5282282128554 |
L(r)(E,1)/r! |
Ω |
0.24546510409606 |
Real period |
R |
4.4325568780947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450bv1 |
Quadratic twists by: 5 |