Atkin-Lehner |
3+ 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98175d |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-10031035226953125 = -1 · 3 · 58 · 7 · 114 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,51787,1647656] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:1067:1] |
Generators of the group modulo torsion |
j |
983026944079991/641986254525 |
j-invariant |
L |
3.86280733773 |
L(r)(E,1)/r! |
Ω |
0.25487979197729 |
Real period |
R |
0.94721302641777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635r4 |
Quadratic twists by: 5 |