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 |
Δ |
9072000000 = 210 · 34 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3808,91612] |
[a1,a2,a3,a4,a6] |
Generators |
[46:108:1] |
Generators of the group modulo torsion |
j |
381775972/567 |
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 |
8400r3 33600cr4 12600q3 168a3 |
Quadratic twists by: -4 8 -3 5 |