Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
4200u |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-16800000000 = -1 · 211 · 3 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -5 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,6412] |
[a1,a2,a3,a4,a6] |
j |
-1250/21 |
j-invariant |
L |
1.0416634673727 |
L(r)(E,1)/r! |
Ω |
1.0416634673727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8400ba1 33600dn1 12600bf1 4200j1 |
Quadratic twists by: -4 8 -3 5 |