Atkin-Lehner |
2- 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59878y |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-9201092992 = -1 · 27 · 76 · 13 · 47 |
Discriminant |
Eigenvalues |
2- -2 0 7- 4 13- 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12153,514681] |
[a1,a2,a3,a4,a6] |
Generators |
[60:19:1] |
Generators of the group modulo torsion |
j |
-1687284042625/78208 |
j-invariant |
L |
7.3858467091608 |
L(r)(E,1)/r! |
Ω |
1.2220843135564 |
Real period |
R |
0.43168910146273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1222b1 |
Quadratic twists by: -7 |