Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bj |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2565583978496 = -1 · 214 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 11- -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15157,717331] |
[a1,a2,a3,a4,a6] |
Generators |
[30:539:1] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
4.3561699158317 |
L(r)(E,1)/r! |
Ω |
0.81623446650445 |
Real period |
R |
0.88948500596221 |
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 |
34496cq2 2156a2 704d2 |
Quadratic twists by: -4 8 -7 |