Atkin-Lehner |
2+ 3+ 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600n |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-74700000000 = -1 · 28 · 32 · 58 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 -5 -2 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,12912] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:12:1] [-8:100:1] |
Generators of the group modulo torsion |
j |
27440/747 |
j-invariant |
L |
7.3705399244382 |
L(r)(E,1)/r! |
Ω |
0.81944243201447 |
Real period |
R |
0.74954827374864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800bk1 99600bf1 |
Quadratic twists by: -4 5 |