Atkin-Lehner |
2- 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978y |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
433101816 = 23 · 36 · 7 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2669,-52387] |
[a1,a2,a3,a4,a6] |
Generators |
[61:64:1] |
Generators of the group modulo torsion |
j |
2883296787337/594104 |
j-invariant |
L |
8.0588066899515 |
L(r)(E,1)/r! |
Ω |
0.66424836517457 |
Real period |
R |
4.0440730267278 |
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 |
103824bm2 1442d2 90846df2 |
Quadratic twists by: -4 -3 -7 |