Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98838r |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6183757844178624 = 26 · 36 · 178 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16869273,-26663918995] |
[a1,a2,a3,a4,a6] |
Generators |
[14497:1658692:1] |
Generators of the group modulo torsion |
j |
30171143454741297/351424 |
j-invariant |
L |
3.4573601009095 |
L(r)(E,1)/r! |
Ω |
0.074494714853758 |
Real period |
R |
5.8013512882239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10982f2 5814j2 |
Quadratic twists by: -3 17 |