Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
8520a |
Isogeny class |
Conductor |
8520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1935744000 = 210 · 3 · 53 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7976,-271524] |
[a1,a2,a3,a4,a6] |
Generators |
[842:1675:8] |
Generators of the group modulo torsion |
j |
54806698376356/1890375 |
j-invariant |
L |
3.2529914456439 |
L(r)(E,1)/r! |
Ω |
0.50518404936568 |
Real period |
R |
6.4392204182385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17040f2 68160bf2 25560k2 42600y2 |
Quadratic twists by: -4 8 -3 5 |