Atkin-Lehner |
3+ 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635o |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
688129016568984375 = 3 · 57 · 74 · 114 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18301250295,952940487770382] |
[a1,a2,a3,a4,a6] |
j |
677900562155526557965887564740855281/688129016568984375 |
j-invariant |
L |
1.1982812814198 |
L(r)(E,1)/r! |
Ω |
0.085591520101412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58905ba4 98175v4 |
Quadratic twists by: -3 5 |