Atkin-Lehner |
2+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32120b |
Isogeny class |
Conductor |
32120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-621843200 = -1 · 28 · 52 · 113 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 11- -1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-892,10324] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:110:1] |
Generators of the group modulo torsion |
j |
-306604348416/2429075 |
j-invariant |
L |
3.3134043215172 |
L(r)(E,1)/r! |
Ω |
1.6331367893558 |
Real period |
R |
0.084535792896455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64240e1 |
Quadratic twists by: -4 |