Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400bm |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-6030000 = -1 · 24 · 32 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83,288] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
-6400000/603 |
j-invariant |
L |
6.1187018434872 |
L(r)(E,1)/r! |
Ω |
2.3353995108684 |
Real period |
R |
1.3099903915793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000656 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200j1 80400k1 |
Quadratic twists by: -4 5 |