Atkin-Lehner |
3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115311j |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
77329180124337897 = 35 · 74 · 178 · 19 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2056621399,-35899632747988] |
[a1,a2,a3,a4,a6] |
Generators |
[-315117585479744196813362861171657838857224705:157540854432648869933891086247181599444811539:12035083516365239676807508740220613484875] |
Generators of the group modulo torsion |
j |
39855956368379837196953233/3203685513 |
j-invariant |
L |
2.9107845644407 |
L(r)(E,1)/r! |
Ω |
0.022418727962106 |
Real period |
R |
64.918592215682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000162527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6783c3 |
Quadratic twists by: 17 |