Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800b |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5390000000000 = 210 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4408,13188] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:350:1] |
Generators of the group modulo torsion |
j |
592143556/336875 |
j-invariant |
L |
2.9707005516914 |
L(r)(E,1)/r! |
Ω |
0.65545736087674 |
Real period |
R |
1.1330639981363 |
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 |
15400e2 123200eq2 6160b2 |
Quadratic twists by: -4 8 5 |