Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965c |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1049002084310569725 = -1 · 3 · 52 · 77 · 198 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4164,49278858] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:7014:1] |
Generators of the group modulo torsion |
j |
67867385039/8916370596525 |
j-invariant |
L |
1.949098794631 |
L(r)(E,1)/r! |
Ω |
0.21899624573512 |
Real period |
R |
0.55625919182094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41895bt5 69825bw5 1995h6 |
Quadratic twists by: -3 5 -7 |