Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30420f |
Isogeny class |
Conductor |
30420 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
49280400 = 24 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,-1703] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:5:1] |
Generators of the group modulo torsion |
j |
1141504/25 |
j-invariant |
L |
5.5309507951118 |
L(r)(E,1)/r! |
Ω |
1.1760821561485 |
Real period |
R |
0.78381015110158 |
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 |
121680dg1 3380e1 30420s1 |
Quadratic twists by: -4 -3 13 |