Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
99176u |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-5.5024865590035E+19 |
Discriminant |
Eigenvalues |
2- 3 -2 7- 11- 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-997591,523882079] |
[a1,a2,a3,a4,a6] |
Generators |
[-24045:717409:27] |
Generators of the group modulo torsion |
j |
-58327458934664448/29231477525327 |
j-invariant |
L |
11.622629284688 |
L(r)(E,1)/r! |
Ω |
0.18527797116212 |
Real period |
R |
1.5682691788435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168k1 |
Quadratic twists by: -7 |