Atkin-Lehner |
2- 5+ 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
102350o |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-16376000000 = -1 · 29 · 56 · 23 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 1 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1863,30781] |
[a1,a2,a3,a4,a6] |
Generators |
[25:12:1] [35:82:1] |
Generators of the group modulo torsion |
j |
-45767461033/1048064 |
j-invariant |
L |
11.992109427076 |
L(r)(E,1)/r! |
Ω |
1.2359719413908 |
Real period |
R |
0.26951594903265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4094b1 |
Quadratic twists by: 5 |