Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320i |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-3.3917681536744E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,825575,-837992363] |
[a1,a2,a3,a4,a6] |
Generators |
[27282714884401071448506892:-2012506205614822156199017761:5131588326792197191111] |
Generators of the group modulo torsion |
j |
243082010896493302784/1324909435029066315 |
j-invariant |
L |
5.6979450307437 |
L(r)(E,1)/r! |
Ω |
0.085747335270782 |
Real period |
R |
33.225201767205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17160j1 102960t1 |
Quadratic twists by: -4 -3 |