Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
12810h |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1999257364070400 = 224 · 3 · 52 · 7 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-92478,-10616144] |
[a1,a2,a3,a4,a6] |
Generators |
[-1330:3961:8] |
Generators of the group modulo torsion |
j |
87464586583233903961/1999257364070400 |
j-invariant |
L |
4.5696946186353 |
L(r)(E,1)/r! |
Ω |
0.27415422572549 |
Real period |
R |
5.5561118400207 |
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 |
102480bl3 38430bm3 64050br3 89670a3 |
Quadratic twists by: -4 -3 5 -7 |