Atkin-Lehner |
2- 3+ 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
98832i |
Isogeny class |
Conductor |
98832 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-128086272 = -1 · 28 · 35 · 29 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 4 -4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92,-612] |
[a1,a2,a3,a4,a6] |
Generators |
[1669521:22320766:9261] |
Generators of the group modulo torsion |
j |
-340062928/500337 |
j-invariant |
L |
8.2776967379414 |
L(r)(E,1)/r! |
Ω |
0.73150316089117 |
Real period |
R |
11.316009490869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24708b1 |
Quadratic twists by: -4 |