Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200h |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
672000 = 28 · 3 · 53 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,52] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:10:1] |
Generators of the group modulo torsion |
j |
78608/21 |
j-invariant |
L |
3.2369835215861 |
L(r)(E,1)/r! |
Ω |
2.6814110185133 |
Real period |
R |
1.2071940852174 |
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 |
8400bc1 33600dq1 12600cm1 4200bc1 |
Quadratic twists by: -4 8 -3 5 |