Atkin-Lehner |
2+ 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336bj |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
1.1310826086092E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 3 13- 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-581217,53708031] |
[a1,a2,a3,a4,a6] |
Generators |
[-663:12168:1] [-429:14976:1] |
Generators of the group modulo torsion |
j |
82832250843593497/43147377342576 |
j-invariant |
L |
11.659280083878 |
L(r)(E,1)/r! |
Ω |
0.19953522373437 |
Real period |
R |
0.26560086313628 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336bz1 3198a1 |
Quadratic twists by: -4 8 |