Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850dx |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
353130091256250000 = 24 · 34 · 58 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-192963,-15796719] |
[a1,a2,a3,a4,a6] |
Generators |
[-335:3542:1] |
Generators of the group modulo torsion |
j |
432252699481/192099600 |
j-invariant |
L |
8.2664592790212 |
L(r)(E,1)/r! |
Ω |
0.23737352589722 |
Real period |
R |
2.1765430785541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002231 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170t2 11550ce2 |
Quadratic twists by: 5 -7 |