Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2100d |
Isogeny class |
Conductor |
2100 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-26682793200 = -1 · 24 · 34 · 52 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4018,99697] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:441:1] |
Generators of the group modulo torsion |
j |
-17939139239680/66706983 |
j-invariant |
L |
2.6958433668836 |
L(r)(E,1)/r! |
Ω |
1.1931453223125 |
Real period |
R |
0.053796252334259 |
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 |
8400bz1 33600ct1 6300m1 2100o1 |
Quadratic twists by: -4 8 -3 5 |