Atkin-Lehner |
7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
119483b |
Isogeny class |
Conductor |
119483 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
243360 |
Modular degree for the optimal curve |
Δ |
23887877741 = 72 · 136 · 101 |
Discriminant |
Eigenvalues |
2 -2 3 7- 4 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2084,35169] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:2103:8] |
Generators of the group modulo torsion |
j |
207474688/4949 |
j-invariant |
L |
13.341721002507 |
L(r)(E,1)/r! |
Ω |
1.1966323501068 |
Real period |
R |
5.5746950632543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
707a1 |
Quadratic twists by: 13 |