Atkin-Lehner |
2+ 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38544f |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-8044984468224 = -1 · 28 · 35 · 116 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 11- -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2761,146531] |
[a1,a2,a3,a4,a6] |
Generators |
[110:1089:1] |
Generators of the group modulo torsion |
j |
-9095786404864/31425720579 |
j-invariant |
L |
8.1191710288635 |
L(r)(E,1)/r! |
Ω |
0.6466184378044 |
Real period |
R |
0.41854518595914 |
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 |
19272d1 115632e1 |
Quadratic twists by: -4 -3 |