Atkin-Lehner |
2- 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240bl |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-196468845447168000 = -1 · 214 · 32 · 53 · 78 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -6 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60576,22104576] |
[a1,a2,a3,a4,a6] |
Generators |
[810:22446:1] |
Generators of the group modulo torsion |
j |
-6001678266883489/47966026720500 |
j-invariant |
L |
4.0953830475954 |
L(r)(E,1)/r! |
Ω |
0.27262837547256 |
Real period |
R |
3.7554629445388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030v2 |
Quadratic twists by: -4 |