Atkin-Lehner |
3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
90675z |
Isogeny class |
Conductor |
90675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-110284885546875 = -1 · 36 · 58 · 13 · 313 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,8700,397156] |
[a1,a2,a3,a4,a6] |
Generators |
[290:6971:8] |
Generators of the group modulo torsion |
j |
6393430016/9682075 |
j-invariant |
L |
6.356572477752 |
L(r)(E,1)/r! |
Ω |
0.40328137327302 |
Real period |
R |
1.3135106339417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10075c1 18135t1 |
Quadratic twists by: -3 5 |