Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12920k |
Isogeny class |
Conductor |
12920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-7467760 = -1 · 24 · 5 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- -3 2 -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167,-841] |
[a1,a2,a3,a4,a6] |
Generators |
[25:103:1] |
Generators of the group modulo torsion |
j |
-32192384256/466735 |
j-invariant |
L |
4.158647925492 |
L(r)(E,1)/r! |
Ω |
0.66346202404599 |
Real period |
R |
3.1340512152687 |
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 |
25840i1 103360h1 116280o1 64600f1 |
Quadratic twists by: -4 8 -3 5 |