Atkin-Lehner |
2- 5- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17710j |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
104960 |
Modular degree for the optimal curve |
Δ |
92078164062500 = 22 · 510 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47025,-3917365] |
[a1,a2,a3,a4,a6] |
j |
11500340578110291601/92078164062500 |
j-invariant |
L |
6.487195691596 |
L(r)(E,1)/r! |
Ω |
0.3243597845798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88550v1 123970bi1 |
Quadratic twists by: 5 -7 |