Atkin-Lehner |
2- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
5830d |
Isogeny class |
Conductor |
5830 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-2146496675840000000 = -1 · 224 · 57 · 11 · 533 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11+ -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1347396,605992976] |
[a1,a2,a3,a4,a6] |
Generators |
[-752:34932:1] |
Generators of the group modulo torsion |
j |
-270526300483992591025729/2146496675840000000 |
j-invariant |
L |
6.1170466155302 |
L(r)(E,1)/r! |
Ω |
0.26192923381401 |
Real period |
R |
2.9192267537583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
46640m1 52470n1 29150a1 64130b1 |
Quadratic twists by: -4 -3 5 -11 |