Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080cg |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-280615262400 = -1 · 26 · 32 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1170,20700] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:90:1] |
Generators of the group modulo torsion |
j |
1560896/2475 |
j-invariant |
L |
6.9639872995863 |
L(r)(E,1)/r! |
Ω |
0.66537210136271 |
Real period |
R |
2.6165762305876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58080m1 116160bc2 5280h1 |
Quadratic twists by: -4 8 -11 |