Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21560i |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
28471058000 = 24 · 53 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11+ 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1862,29841] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:245:1] |
Generators of the group modulo torsion |
j |
379275264/15125 |
j-invariant |
L |
5.2233460673287 |
L(r)(E,1)/r! |
Ω |
1.1710591349499 |
Real period |
R |
0.74339343924369 |
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 |
43120w1 107800bm1 440a1 |
Quadratic twists by: -4 5 -7 |