Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5880s |
Isogeny class |
Conductor |
5880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-4765680279486000 = -1 · 24 · 310 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13491,-3371220] |
[a1,a2,a3,a4,a6] |
Generators |
[18327:467459:27] |
Generators of the group modulo torsion |
j |
-420616192/7381125 |
j-invariant |
L |
3.1741871504399 |
L(r)(E,1)/r! |
Ω |
0.18646149447141 |
Real period |
R |
8.5116424692353 |
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 |
11760v1 47040de1 17640bb1 29400bk1 |
Quadratic twists by: -4 8 -3 5 |