Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
40200n |
Isogeny class |
Conductor |
40200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1305792640800000000 = -1 · 211 · 34 · 58 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-310008,-86338512] |
[a1,a2,a3,a4,a6] |
Generators |
[102313917:12487567200:6859] |
Generators of the group modulo torsion |
j |
-102965999263202/40806020025 |
j-invariant |
L |
7.8858212389579 |
L(r)(E,1)/r! |
Ω |
0.099222048359413 |
Real period |
R |
9.9345626417573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80400c3 120600bz3 8040i4 |
Quadratic twists by: -4 -3 5 |