Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464cc |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
439199356689580032 = 220 · 35 · 78 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-229104,-27732780] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:2688:1] |
Generators of the group modulo torsion |
j |
324686083835773297/107226405441792 |
j-invariant |
L |
7.5482999201728 |
L(r)(E,1)/r! |
Ω |
0.2239897173321 |
Real period |
R |
0.84248286268445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999859301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558l1 |
Quadratic twists by: -4 |