Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
39200c |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-230592040000000 = -1 · 29 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -3 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20008,-1304988] |
[a1,a2,a3,a4,a6] |
Generators |
[768:20874:1] |
Generators of the group modulo torsion |
j |
-19208/5 |
j-invariant |
L |
8.2218856693231 |
L(r)(E,1)/r! |
Ω |
0.19800965407864 |
Real period |
R |
3.4602208781097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200bn1 78400l1 7840v1 39200p1 |
Quadratic twists by: -4 8 5 -7 |