Atkin-Lehner |
2+ 3- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350y |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
636084900000000 = 28 · 34 · 58 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46901,3712448] |
[a1,a2,a3,a4,a6] |
Generators |
[222:-2174:1] |
Generators of the group modulo torsion |
j |
730191348387649/40709433600 |
j-invariant |
L |
6.9257937442959 |
L(r)(E,1)/r! |
Ω |
0.5052503344378 |
Real period |
R |
0.57115200108709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470u1 |
Quadratic twists by: 5 |