Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850bf |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-446484480000 = -1 · 215 · 3 · 54 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2551,-59302] |
[a1,a2,a3,a4,a6] |
Generators |
[287610:1834063:3375] |
Generators of the group modulo torsion |
j |
-2935826056825/714375168 |
j-invariant |
L |
5.8924275544322 |
L(r)(E,1)/r! |
Ω |
0.33164244011122 |
Real period |
R |
8.8837055336882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850ca1 |
Quadratic twists by: 5 |