Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978h |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13642707204 = 22 · 38 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1863,-29975] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:35:1] |
Generators of the group modulo torsion |
j |
981218819953/18714276 |
j-invariant |
L |
2.7487778126686 |
L(r)(E,1)/r! |
Ω |
0.72750923376836 |
Real period |
R |
1.8891703947388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103824cc2 4326d2 90846bf2 |
Quadratic twists by: -4 -3 -7 |