Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270c |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
353816100 = 22 · 34 · 52 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-572,4956] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:104:1] |
Generators of the group modulo torsion |
j |
20753798525641/353816100 |
j-invariant |
L |
2.5078222137816 |
L(r)(E,1)/r! |
Ω |
1.7052753331587 |
Real period |
R |
0.73531299169628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50160cg2 18810y2 31350bw2 68970bt2 |
Quadratic twists by: -4 -3 5 -11 |