Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800jp |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-12345177600000000 = -1 · 215 · 39 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2700,-5346000] |
[a1,a2,a3,a4,a6] |
Generators |
[190:1000:1] |
Generators of the group modulo torsion |
j |
-216/1225 |
j-invariant |
L |
7.5401892341576 |
L(r)(E,1)/r! |
Ω |
0.18200396862462 |
Real period |
R |
2.5892942422113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999812311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ip2 50400g2 100800jq2 20160cq2 |
Quadratic twists by: -4 8 -3 5 |