Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400dv |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-2219520000 = -1 · 212 · 3 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,267,-1437] |
[a1,a2,a3,a4,a6] |
Generators |
[38:255:1] |
Generators of the group modulo torsion |
j |
819200/867 |
j-invariant |
L |
6.5486213550069 |
L(r)(E,1)/r! |
Ω |
0.79139807171944 |
Real period |
R |
1.379125033916 |
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 |
1275c1 81600hj1 61200gk1 20400bv1 |
Quadratic twists by: -4 8 -3 5 |