Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
40200j |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6528 |
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 |
[11:3:1] |
Generators of the group modulo torsion |
j |
-6400000/603 |
j-invariant |
L |
5.9047137391064 |
L(r)(E,1)/r! |
Ω |
0.78585839635044 |
Real period |
R |
1.8784280242236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400bm1 120600cm1 40200bh1 |
Quadratic twists by: -4 -3 5 |