Atkin-Lehner |
3- 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175z |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1869087089623359375 = 312 · 57 · 72 · 11 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-469063,104664242] |
[a1,a2,a3,a4,a6] |
Generators |
[-517:14717:1] |
Generators of the group modulo torsion |
j |
730461405459781801/119621573735895 |
j-invariant |
L |
3.7565835455422 |
L(r)(E,1)/r! |
Ω |
0.25188329332928 |
Real period |
R |
0.6214160228589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002064 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19635l3 |
Quadratic twists by: 5 |