Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640k |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-859185941040 = -1 · 24 · 34 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2305,-14010] |
[a1,a2,a3,a4,a6] |
Generators |
[219066672:2053496067:5451776] |
Generators of the group modulo torsion |
j |
84611246065664/53699121315 |
j-invariant |
L |
5.484077711218 |
L(r)(E,1)/r! |
Ω |
0.51052362018945 |
Real period |
R |
10.742064606499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320bb1 115920q1 |
Quadratic twists by: -4 -3 |