Atkin-Lehner |
3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175u |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
807111427327734375 = 34 · 58 · 7 · 118 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32137626,-70127005727] |
[a1,a2,a3,a4,a6] |
j |
234933551390769872069521/51655131348975 |
j-invariant |
L |
2.0290657672036 |
L(r)(E,1)/r! |
Ω |
0.063408300611421 |
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 |
19635m5 |
Quadratic twists by: 5 |