Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21024k |
Isogeny class |
Conductor |
21024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
2482892352 = 26 · 312 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 2 0 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-957,11140] |
[a1,a2,a3,a4,a6] |
Generators |
[23:36:1] |
Generators of the group modulo torsion |
j |
2077552576/53217 |
j-invariant |
L |
4.4244668771189 |
L(r)(E,1)/r! |
Ω |
1.4439229582617 |
Real period |
R |
1.5320993588347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21024d1 42048m2 7008e1 |
Quadratic twists by: -4 8 -3 |