Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
122018bf |
Isogeny class |
Conductor |
122018 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1684800 |
Modular degree for the optimal curve |
Δ |
-138065540948827232 = -1 · 25 · 136 · 197 |
Discriminant |
Eigenvalues |
2- 1 4 -3 -2 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1271,-17877367] |
[a1,a2,a3,a4,a6] |
Generators |
[15002:1829989:1] |
Generators of the group modulo torsion |
j |
-1/608 |
j-invariant |
L |
15.333487995542 |
L(r)(E,1)/r! |
Ω |
0.14990629908661 |
Real period |
R |
5.1143574417559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722c1 6422b1 |
Quadratic twists by: 13 -19 |