Atkin-Lehner |
2- 3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880bm |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-723240000000000 = -1 · 212 · 32 · 510 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18376,1616560] |
[a1,a2,a3,a4,a6] |
j |
-167548422911689/176572265625 |
j-invariant |
L |
1.844777723603 |
L(r)(E,1)/r! |
Ω |
0.46119442807458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4305f2 |
Quadratic twists by: -4 |