Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018bh |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2201472 |
Modular degree for the optimal curve |
Δ |
-377863585754685056 = -1 · 27 · 137 · 196 |
Discriminant |
Eigenvalues |
2- 3 1 -1 2 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-163962,-39044807] |
[a1,a2,a3,a4,a6] |
Generators |
[82101:4442195:27] |
Generators of the group modulo torsion |
j |
-2146689/1664 |
j-invariant |
L |
21.723251178967 |
L(r)(E,1)/r! |
Ω |
0.11478941036855 |
Real period |
R |
6.7587279407716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386f1 338f1 |
Quadratic twists by: 13 -19 |