Atkin-Lehner |
2- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78736x |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
4515037184 = 217 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -1 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2072,35476] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:224:1] [22:32:1] |
Generators of the group modulo torsion |
j |
240293820313/1102304 |
j-invariant |
L |
6.5774231703147 |
L(r)(E,1)/r! |
Ω |
1.384311627906 |
Real period |
R |
0.5939254425764 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842b1 |
Quadratic twists by: -4 |