Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710ca |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1276159206168071280 = 24 · 34 · 5 · 119 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-68721650,-219303304945] |
[a1,a2,a3,a4,a6] |
Generators |
[739807305:-181004342407:12167] |
Generators of the group modulo torsion |
j |
20260414982443110947641/720358602480 |
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 |
0.99999999994862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610f3 |
Quadratic twists by: -11 |