Atkin-Lehner |
2- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109888w |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
9177955648 = 26 · 175 · 101 |
Discriminant |
Eigenvalues |
2- -1 4 -3 -3 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2401,-44257] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:85:8] |
Generators of the group modulo torsion |
j |
23927707242496/143405557 |
j-invariant |
L |
6.5986725445525 |
L(r)(E,1)/r! |
Ω |
0.68224947354417 |
Real period |
R |
1.9343870148202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998970908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109888i1 27472m1 |
Quadratic twists by: -4 8 |