Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2800a |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
224000000 = 211 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7475,-248750] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1950:1] |
Generators of the group modulo torsion |
j |
1443468546/7 |
j-invariant |
L |
3.1968785594863 |
L(r)(E,1)/r! |
Ω |
0.5134484909635 |
Real period |
R |
3.1131443715876 |
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 |
1400a4 11200bv3 25200bf4 112b3 |
Quadratic twists by: -4 8 -3 5 |