Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840bk |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-3457909440000000 = -1 · 212 · 311 · 57 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 -2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211512,-37548016] |
[a1,a2,a3,a4,a6] |
j |
-350462271384064/1158046875 |
j-invariant |
L |
3.1160751128628 |
L(r)(E,1)/r! |
Ω |
0.11128839579353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87840bl1 29280a1 |
Quadratic twists by: -4 -3 |