Atkin-Lehner |
5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
35035c |
Isogeny class |
Conductor |
35035 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3478946418212890625 = 512 · 77 · 113 · 13 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31668905,-68587849800] |
[a1,a2,a3,a4,a6] |
Generators |
[-3679732806288879339453059280:1573105241311895013202107765:1132846325411819123585024] |
Generators of the group modulo torsion |
j |
29856206199428401347801/29570556640625 |
j-invariant |
L |
4.7710830960653 |
L(r)(E,1)/r! |
Ω |
0.063641633471923 |
Real period |
R |
37.48397735713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5005b4 |
Quadratic twists by: -7 |