Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138a |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4.7076376876957E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,924361,-985881375] |
[a1,a2,a3,a4,a6] |
Generators |
[212004927556:10179903387287:99252847] |
Generators of the group modulo torsion |
j |
736558976791/3969746172 |
j-invariant |
L |
3.3195517600218 |
L(r)(E,1)/r! |
Ω |
0.083465321616223 |
Real period |
R |
19.885814226448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97104cp3 36414ci3 84966by3 12138l3 |
Quadratic twists by: -4 -3 -7 17 |