Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
36108h |
Isogeny class |
Conductor |
36108 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
959616 |
Modular degree for the optimal curve |
Δ |
-1.1552255548648E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 5 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-315696,-521607692] |
[a1,a2,a3,a4,a6] |
Generators |
[32179806425:-85558280913:34328125] |
Generators of the group modulo torsion |
j |
-18645045872754688/619012321493931 |
j-invariant |
L |
7.8340623937881 |
L(r)(E,1)/r! |
Ω |
0.081411990109206 |
Real period |
R |
12.028422323419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12036c1 |
Quadratic twists by: -3 |