Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200z |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
51968 |
Modular degree for the optimal curve |
Δ |
-13940935904000 = -1 · 28 · 53 · 77 · 232 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 -3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3473,197317] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:322:1] [-13:490:1] |
Generators of the group modulo torsion |
j |
-144814859264/435654247 |
j-invariant |
L |
7.1625314010812 |
L(r)(E,1)/r! |
Ω |
0.62012362639247 |
Real period |
R |
0.20625298086437 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400w1 32200l1 |
Quadratic twists by: -4 5 |