Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34848k |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4471137792 = 29 · 38 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,-14762] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:18:1] [-18:14:1] |
Generators of the group modulo torsion |
j |
343000/9 |
j-invariant |
L |
8.0085910911074 |
L(r)(E,1)/r! |
Ω |
0.82025603814494 |
Real period |
R |
2.4408814805007 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848bq2 69696x2 11616x2 34848bp2 |
Quadratic twists by: -4 8 -3 -11 |