Atkin-Lehner |
2- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
69938u |
Isogeny class |
Conductor |
69938 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-833325060654592 = -1 · 29 · 117 · 174 |
Discriminant |
Eigenvalues |
2- -2 0 -2 11- -5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1941508,1041093648] |
[a1,a2,a3,a4,a6] |
Generators |
[-12218:174783:8] [824:556:1] |
Generators of the group modulo torsion |
j |
-5470027161625/5632 |
j-invariant |
L |
10.38143801562 |
L(r)(E,1)/r! |
Ω |
0.42124145356558 |
Real period |
R |
0.22819317817978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358g2 69938o2 |
Quadratic twists by: -11 17 |