Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320bx |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-4.4577613387661E+20 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4046945,-3295455457] |
[a1,a2,a3,a4,a6] |
Generators |
[2786:84035:1] |
Generators of the group modulo torsion |
j |
-27961843710799634329/1700500998980000 |
j-invariant |
L |
8.2608082173619 |
L(r)(E,1)/r! |
Ω |
0.053034774388598 |
Real period |
R |
1.7700239482584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96320o1 24080j1 |
Quadratic twists by: -4 8 |