Atkin-Lehner |
2- 3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880bq |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-81650903040000 = -1 · 214 · 34 · 54 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10320,158400] |
[a1,a2,a3,a4,a6] |
j |
29672953264079/19934302500 |
j-invariant |
L |
3.0604110485385 |
L(r)(E,1)/r! |
Ω |
0.38255138118751 |
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 |
8610t4 |
Quadratic twists by: -4 |