Atkin-Lehner |
2- 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12648f |
Isogeny class |
Conductor |
12648 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2.340849995739E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125891032,591371708288] |
[a1,a2,a3,a4,a6] |
Generators |
[-1172336:1114845120:1331] |
Generators of the group modulo torsion |
j |
-215480582103469207662734692/22859863239638857125663 |
j-invariant |
L |
6.2005897024512 |
L(r)(E,1)/r! |
Ω |
0.06578200480199 |
Real period |
R |
5.236648027506 |
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 |
25296a3 101184b3 37944f3 |
Quadratic twists by: -4 8 -3 |