Atkin-Lehner |
3+ 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175i |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5687016665859375 = 3 · 57 · 74 · 112 · 174 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-249375,-47898750] |
[a1,a2,a3,a4,a6] |
Generators |
[-2210:1655:8] |
Generators of the group modulo torsion |
j |
109765319621756401/363969066615 |
j-invariant |
L |
6.0955077192567 |
L(r)(E,1)/r! |
Ω |
0.21368433509486 |
Real period |
R |
3.5657198055562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635v3 |
Quadratic twists by: 5 |