Atkin-Lehner |
3- 7- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
84357f |
Isogeny class |
Conductor |
84357 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
-1057674055347 = -1 · 311 · 73 · 132 · 103 |
Discriminant |
Eigenvalues |
2 3- 2 7- -3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2019,-60561] |
[a1,a2,a3,a4,a6] |
Generators |
[802:6899:8] |
Generators of the group modulo torsion |
j |
-1248547704832/1450856043 |
j-invariant |
L |
15.827168866174 |
L(r)(E,1)/r! |
Ω |
0.34081546798721 |
Real period |
R |
3.8699262871186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28119d1 |
Quadratic twists by: -3 |