Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288bc |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.934248174064E+27 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117425312,-3414890402340] |
[a1,a2,a3,a4,a6] |
Generators |
[101670914364669943320714395543075244:39670031646480771035529336377885456355:663846290838299503319369515712] |
Generators of the group modulo torsion |
j |
-36228371597294127268/998299649413188369 |
j-invariant |
L |
8.4384597300693 |
L(r)(E,1)/r! |
Ω |
0.018764292350544 |
Real period |
R |
56.213549003996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7176c4 |
Quadratic twists by: 13 |