Atkin-Lehner |
5+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60775i |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-1049318359375 = -1 · 59 · 11 · 132 · 172 |
Discriminant |
Eigenvalues |
1 -2 5+ 0 11- 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1126,-51477] |
[a1,a2,a3,a4,a6] |
Generators |
[367:6816:1] |
Generators of the group modulo torsion |
j |
-10091699281/67156375 |
j-invariant |
L |
4.6303473834665 |
L(r)(E,1)/r! |
Ω |
0.36669328371372 |
Real period |
R |
3.1568258739324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12155g1 |
Quadratic twists by: 5 |