Atkin-Lehner |
2- 3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
99180v |
Isogeny class |
Conductor |
99180 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-9158281200 = -1 · 24 · 37 · 52 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-597,7261] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-171:1] [17:45:1] |
Generators of the group modulo torsion |
j |
-2017433344/785175 |
j-invariant |
L |
11.610048367013 |
L(r)(E,1)/r! |
Ω |
1.2197501641772 |
Real period |
R |
0.19829963114288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33060i1 |
Quadratic twists by: -3 |