Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10120f |
Isogeny class |
Conductor |
10120 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
-2590720 = -1 · 211 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 11- -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,-340] |
[a1,a2,a3,a4,a6] |
Generators |
[45094:130173:2744] |
Generators of the group modulo torsion |
j |
-48275138/1265 |
j-invariant |
L |
6.3598351226557 |
L(r)(E,1)/r! |
Ω |
0.76077047466044 |
Real period |
R |
8.3597291620635 |
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 |
20240c1 80960u1 91080u1 50600d1 |
Quadratic twists by: -4 8 -3 5 |