Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200t |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-2583393750000 = -1 · 24 · 310 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1708,82537] |
[a1,a2,a3,a4,a6] |
Generators |
[16:243:1] |
Generators of the group modulo torsion |
j |
-88218880/413343 |
j-invariant |
L |
3.0655925269207 |
L(r)(E,1)/r! |
Ω |
0.70489441059538 |
Real period |
R |
1.0872523887412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8400bf1 33600dg1 12600y1 4200n1 |
Quadratic twists by: -4 8 -3 5 |