Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30420n |
Isogeny class |
Conductor |
30420 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
1232010000 = 24 · 36 · 54 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -5 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-273,-403] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:25:1] |
Generators of the group modulo torsion |
j |
1141504/625 |
j-invariant |
L |
3.118247849706 |
L(r)(E,1)/r! |
Ω |
1.2548030073923 |
Real period |
R |
1.2425248550312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680ed1 3380g1 30420x1 |
Quadratic twists by: -4 -3 13 |