Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12920b |
Isogeny class |
Conductor |
12920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-2067200 = -1 · 28 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-361,2765] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-10:1] |
Generators of the group modulo torsion |
j |
-20380171264/8075 |
j-invariant |
L |
3.2236839731116 |
L(r)(E,1)/r! |
Ω |
2.5690752669318 |
Real period |
R |
0.15685040521222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25840c1 103360bf1 116280bw1 64600t1 |
Quadratic twists by: -4 8 -3 5 |