Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2100h |
Isogeny class |
Conductor |
2100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-126000 = -1 · 24 · 32 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,-18] |
[a1,a2,a3,a4,a6] |
j |
16384/63 |
j-invariant |
L |
1.6751435269165 |
L(r)(E,1)/r! |
Ω |
1.6751435269165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400cq1 33600dx1 6300bf1 2100p1 |
Quadratic twists by: -4 8 -3 5 |