Atkin-Lehner |
2- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24440g |
Isogeny class |
Conductor |
24440 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-1745077100000000 = -1 · 28 · 58 · 135 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- -2 3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3815,2009083] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-1690:1] |
Generators of the group modulo torsion |
j |
23980240262144/6816707421875 |
j-invariant |
L |
6.4338129588777 |
L(r)(E,1)/r! |
Ω |
0.36526565663679 |
Real period |
R |
0.22017581046756 |
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 |
48880f1 122200b1 |
Quadratic twists by: -4 5 |