Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800dd |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-5.9825698242188E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1682550,-824127750] |
[a1,a2,a3,a4,a6] |
j |
722603599520256/820654296875 |
j-invariant |
L |
0.35128578255016 |
L(r)(E,1)/r! |
Ω |
0.087821500810581 |
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 |
100800ep1 50400u1 11200l1 20160bo1 |
Quadratic twists by: -4 8 -3 5 |