Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
21560w |
Isogeny class |
Conductor |
21560 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
244608 |
Modular degree for the optimal curve |
Δ |
-135329031604209520 = -1 · 24 · 5 · 72 · 1113 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- 3 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,117640,8450345] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:363:1] |
Generators of the group modulo torsion |
j |
229651351304189696/172613560719655 |
j-invariant |
L |
8.1343513996742 |
L(r)(E,1)/r! |
Ω |
0.20973126694213 |
Real period |
R |
1.4917168707352 |
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 |
43120v1 107800u1 21560l1 |
Quadratic twists by: -4 5 -7 |