Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420b |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
13655250000 = 24 · 33 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2148,-37903] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:17:1] |
Generators of the group modulo torsion |
j |
2537130442752/31609375 |
j-invariant |
L |
4.5419166925937 |
L(r)(E,1)/r! |
Ω |
0.7018078496422 |
Real period |
R |
1.0786230387965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680cx1 21420f1 107100i1 |
Quadratic twists by: -4 -3 5 |