Atkin-Lehner |
2+ 3+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552x |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-16063488 = -1 · 210 · 33 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-953,11649] |
[a1,a2,a3,a4,a6] |
Generators |
[24:45:1] |
Generators of the group modulo torsion |
j |
-93574624000/15687 |
j-invariant |
L |
5.5902260034993 |
L(r)(E,1)/r! |
Ω |
2.1333996015319 |
Real period |
R |
2.6203370373017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111552cv1 6972b1 |
Quadratic twists by: -4 8 |