Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200s |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-1234800 = -1 · 24 · 32 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,57] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
-160000/3087 |
j-invariant |
L |
3.3034124358487 |
L(r)(E,1)/r! |
Ω |
2.2965604577755 |
Real period |
R |
0.11986811351821 |
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 |
8400u1 33600cy1 12600u1 4200p1 |
Quadratic twists by: -4 8 -3 5 |