Atkin-Lehner |
2- 3+ 5- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
99990q |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
2208649113000000 = 26 · 39 · 56 · 11 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-103952,12726451] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:5149:1] |
Generators of the group modulo torsion |
j |
6311419556349627/112211000000 |
j-invariant |
L |
11.977237562966 |
L(r)(E,1)/r! |
Ω |
0.46277134402321 |
Real period |
R |
0.71893181828481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99990a1 |
Quadratic twists by: -3 |