Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98020a |
Isogeny class |
Conductor |
98020 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-559909844000000 = -1 · 28 · 56 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19097,-514098] |
[a1,a2,a3,a4,a6] |
j |
623331504/453125 |
j-invariant |
L |
2.328544638836 |
L(r)(E,1)/r! |
Ω |
0.29106807463248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
580b2 |
Quadratic twists by: 13 |