Atkin-Lehner |
3- 5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175bk |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
10933481302734375 = 33 · 59 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-442501,-113222227] |
[a1,a2,a3,a4,a6] |
Generators |
[-377:419:1] |
Generators of the group modulo torsion |
j |
613260573399028801/699742803375 |
j-invariant |
L |
11.022593876749 |
L(r)(E,1)/r! |
Ω |
0.18511894303973 |
Real period |
R |
2.4809710882143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635k2 |
Quadratic twists by: 5 |