Atkin-Lehner |
2- 3- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
124236v |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3836160 |
Modular degree for the optimal curve |
Δ |
5.5651316691397E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 4 2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1364817,-497806675] |
[a1,a2,a3,a4,a6] |
Generators |
[-436:3791:1] |
Generators of the group modulo torsion |
j |
24104574593008132864/4771203420044313 |
j-invariant |
L |
6.455502546812 |
L(r)(E,1)/r! |
Ω |
0.14160969155036 |
Real period |
R |
4.5586587361045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999562865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41412b1 |
Quadratic twists by: -3 |