Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710ca |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.2684462639048E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1832850,-7309833585] |
[a1,a2,a3,a4,a6] |
Generators |
[60575:-14935185:1] |
Generators of the group modulo torsion |
j |
-384369029857072441/12804787777021680 |
j-invariant |
L |
8.8197506713926 |
L(r)(E,1)/r! |
Ω |
0.052435590239906 |
Real period |
R |
10.512600591856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999997945 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610f4 |
Quadratic twists by: -11 |