Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98252p |
Isogeny class |
Conductor |
98252 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-4511159620352 = -1 · 28 · 73 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3 0 7- 11- 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4840,165044] |
[a1,a2,a3,a4,a6] |
Generators |
[-825:14399:27] |
Generators of the group modulo torsion |
j |
-27648000/9947 |
j-invariant |
L |
13.502976209072 |
L(r)(E,1)/r! |
Ω |
0.72942557679322 |
Real period |
R |
3.0852990430523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
812a1 |
Quadratic twists by: -11 |