Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17710l |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
4800 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-9.3240985211208E+21 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3484810,-3913026908] |
[a1,a2,a3,a4,a6] |
Generators |
[1414:61278:1] |
Generators of the group modulo torsion |
j |
4680163414260616959361439/9324098521120768000000 |
j-invariant |
L |
5.609589684125 |
L(r)(E,1)/r! |
Ω |
0.067616798874002 |
Real period |
R |
0.069134566379206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88550a1 123970bb1 |
Quadratic twists by: 5 -7 |