Atkin-Lehner |
3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21105c |
Isogeny class |
Conductor |
21105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-37395421875 = -1 · 36 · 56 · 72 · 67 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 6 -4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-453,-10017] |
[a1,a2,a3,a4,a6] |
j |
-14102327296/51296875 |
j-invariant |
L |
3.7938069910675 |
L(r)(E,1)/r! |
Ω |
0.47422587388344 |
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 |
2345a1 105525bi1 |
Quadratic twists by: -3 5 |