Atkin-Lehner |
2+ 3+ 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290a |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4601856 |
Modular degree for the optimal curve |
Δ |
-3.0871132610117E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6928944,-7023543040] |
[a1,a2,a3,a4,a6] |
Generators |
[7094436091014230417:-796604747843966036184:542879184847033] |
Generators of the group modulo torsion |
j |
-1869104611513834926867/1568416024494080 |
j-invariant |
L |
5.7018099409042 |
L(r)(E,1)/r! |
Ω |
0.046524416944259 |
Real period |
R |
30.638803998002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999533451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97290u1 |
Quadratic twists by: -3 |