Atkin-Lehner |
3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96921s |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
-2077480990827 = -1 · 313 · 114 · 89 |
Discriminant |
Eigenvalues |
1 3- 4 -4 11- 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13635,-613332] |
[a1,a2,a3,a4,a6] |
Generators |
[137064:50675358:1] |
Generators of the group modulo torsion |
j |
-26266897921/194643 |
j-invariant |
L |
9.4770919701504 |
L(r)(E,1)/r! |
Ω |
0.22080661868645 |
Real period |
R |
10.730081404644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32307l1 96921u1 |
Quadratic twists by: -3 -11 |