Atkin-Lehner |
2- 3- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
21402g |
Isogeny class |
Conductor |
21402 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-48865645656 = -1 · 23 · 311 · 292 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 2 0 5 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,868,-4233] |
[a1,a2,a3,a4,a6] |
Generators |
[11:75:1] |
Generators of the group modulo torsion |
j |
99317171591/67031064 |
j-invariant |
L |
9.3177215311184 |
L(r)(E,1)/r! |
Ω |
0.64106291030284 |
Real period |
R |
0.60561668892454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7134a1 |
Quadratic twists by: -3 |