Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
7200y |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-38263752000000000 = -1 · 212 · 314 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115500,-17800000] |
[a1,a2,a3,a4,a6] |
Generators |
[694:15372:1] |
Generators of the group modulo torsion |
j |
-29218112/6561 |
j-invariant |
L |
4.5937133526288 |
L(r)(E,1)/r! |
Ω |
0.12795642277371 |
Real period |
R |
4.4875759780663 |
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 |
7200z2 14400fe1 2400z2 7200ca2 |
Quadratic twists by: -4 8 -3 5 |