Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585be |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3.3213004098514E+24 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8711946,87119788153] |
[a1,a2,a3,a4,a6] |
Generators |
[-359178166:6863140175:97336] |
Generators of the group modulo torsion |
j |
852615925233775919/38725085979479025 |
j-invariant |
L |
9.6614317105355 |
L(r)(E,1)/r! |
Ω |
0.060259408329371 |
Real period |
R |
10.020667288953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27195f5 11655f6 |
Quadratic twists by: -3 -7 |