Atkin-Lehner |
7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
119357a |
Isogeny class |
Conductor |
119357 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
695970667 = 74 · 173 · 59 |
Discriminant |
Eigenvalues |
-1 0 -4 7+ 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5367,152660] |
[a1,a2,a3,a4,a6] |
Generators |
[47:27:1] |
Generators of the group modulo torsion |
j |
3479331986577/141659 |
j-invariant |
L |
2.1220212668192 |
L(r)(E,1)/r! |
Ω |
1.51066551695 |
Real period |
R |
1.4046930441262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996378838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119357d2 |
Quadratic twists by: 17 |