Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
13944d |
Isogeny class |
Conductor |
13944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
632355268608 = 211 · 312 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25032,1532268] |
[a1,a2,a3,a4,a6] |
Generators |
[3503841:3409210:35937] |
Generators of the group modulo torsion |
j |
847027985875346/308767221 |
j-invariant |
L |
4.7503963742859 |
L(r)(E,1)/r! |
Ω |
0.89553084684058 |
Real period |
R |
10.60911835934 |
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 |
27888f4 111552bq4 41832y4 97608g4 |
Quadratic twists by: -4 8 -3 -7 |