Atkin-Lehner |
2- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
118720y |
Isogeny class |
Conductor |
118720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2554018611200 = -1 · 214 · 52 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-785,-77617] |
[a1,a2,a3,a4,a6] |
Generators |
[101:940:1] [146:1715:1] |
Generators of the group modulo torsion |
j |
-3269383504/155884925 |
j-invariant |
L |
13.790328168074 |
L(r)(E,1)/r! |
Ω |
0.35583610566705 |
Real period |
R |
4.8443398345513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118720m1 29680g1 |
Quadratic twists by: -4 8 |