Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720x |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-12938431968000 = -1 · 28 · 37 · 53 · 75 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5748,-42604] |
[a1,a2,a3,a4,a6] |
Generators |
[262:4410:1] |
Generators of the group modulo torsion |
j |
112539892736/69328875 |
j-invariant |
L |
6.1741449419676 |
L(r)(E,1)/r! |
Ω |
0.41007068028436 |
Real period |
R |
0.062734560556794 |
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 |
55440bd1 9240s1 |
Quadratic twists by: -4 -3 |