Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280fk |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3194880 |
Modular degree for the optimal curve |
Δ |
-8.9452307793995E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7860972,8495449936] |
[a1,a2,a3,a4,a6] |
j |
-281115640967896441/468084326400 |
j-invariant |
L |
0.76373560861437 |
L(r)(E,1)/r! |
Ω |
0.19093390546607 |
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 |
89280cy1 22320bl1 29760ch1 |
Quadratic twists by: -4 8 -3 |