Atkin-Lehner |
2- 3+ 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
108336p |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-467334298344738816 = -1 · 212 · 36 · 376 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -1 -5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,108368,29851264] |
[a1,a2,a3,a4,a6] |
Generators |
[1738:73926:1] |
Generators of the group modulo torsion |
j |
34360773469867727/114095287681821 |
j-invariant |
L |
2.1684632503035 |
L(r)(E,1)/r! |
Ω |
0.20940762282909 |
Real period |
R |
0.43146775077882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999348451 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6771b1 |
Quadratic twists by: -4 |