Atkin-Lehner |
2+ 3+ 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22134c |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
279874705024438272 = 212 · 33 · 710 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18278591,30071290821] |
[a1,a2,a3,a4,a6] |
j |
675385752676726882480782457/279874705024438272 |
j-invariant |
L |
0.50211402377925 |
L(r)(E,1)/r! |
Ω |
0.25105701188962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402s2 |
Quadratic twists by: -3 |