Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20700g |
Isogeny class |
Conductor |
20700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
41917500000000 = 28 · 36 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24375,-1431250] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:18:1] |
Generators of the group modulo torsion |
j |
878800/23 |
j-invariant |
L |
5.3915102903837 |
L(r)(E,1)/r! |
Ω |
0.38269868468348 |
Real period |
R |
2.3480223067411 |
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 |
82800ea1 2300f1 20700t1 |
Quadratic twists by: -4 -3 5 |