Atkin-Lehner |
3+ 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175i |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
728898753515625 = 32 · 58 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22500,-28125] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1135:1] |
Generators of the group modulo torsion |
j |
80627166849601/46649520225 |
j-invariant |
L |
6.0955077192567 |
L(r)(E,1)/r! |
Ω |
0.42736867018972 |
Real period |
R |
1.7828599027781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884796 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19635v2 |
Quadratic twists by: 5 |