Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bk |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-43385633879791104 = -1 · 29 · 33 · 1112 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157179,-25994430] |
[a1,a2,a3,a4,a6] |
Generators |
[193954605472835854:-6870179799020800750:140340473848063] |
Generators of the group modulo torsion |
j |
-17535471192/1771561 |
j-invariant |
L |
6.9385349779634 |
L(r)(E,1)/r! |
Ω |
0.11920437693102 |
Real period |
R |
29.103524369658 |
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 |
34848bl2 69696eq2 34848g2 3168c2 |
Quadratic twists by: -4 8 -3 -11 |