Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
71400p |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
318622500000000 = 28 · 32 · 510 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42908,3325812] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1800:1] |
Generators of the group modulo torsion |
j |
2184181167184/79655625 |
j-invariant |
L |
5.2493492684582 |
L(r)(E,1)/r! |
Ω |
0.53924346644627 |
Real period |
R |
2.4336638252513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986372 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280bt2 |
Quadratic twists by: 5 |