Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200q |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
5250000 = 24 · 3 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-183,-888] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1:1] |
Generators of the group modulo torsion |
j |
2725888/21 |
j-invariant |
L |
3.2231581324676 |
L(r)(E,1)/r! |
Ω |
1.2980485254096 |
Real period |
R |
1.2415399229588 |
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 |
8400r1 33600cr1 12600q1 168a1 |
Quadratic twists by: -4 8 -3 5 |