Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420u |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.7777490082319E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44952087,-68644991266] |
[a1,a2,a3,a4,a6] |
Generators |
[-1248184:83274075:512] |
Generators of the group modulo torsion |
j |
53827696787265226502224/20242567988210857275 |
j-invariant |
L |
5.5952609609477 |
L(r)(E,1)/r! |
Ω |
0.060169082668308 |
Real period |
R |
7.7493577443426 |
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 |
85680fw2 7140b2 107100bm2 |
Quadratic twists by: -4 -3 5 |