Atkin-Lehner |
2- 3- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290bb |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
24576000 |
Modular degree for the optimal curve |
Δ |
4.9211843555963E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42548513,-4466427919] |
[a1,a2,a3,a4,a6] |
Generators |
[22177311:1682928820:2197] |
Generators of the group modulo torsion |
j |
11685554753744211240256201/6750595823863171334400 |
j-invariant |
L |
12.87307293486 |
L(r)(E,1)/r! |
Ω |
0.064579598063807 |
Real period |
R |
12.458533068442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430s1 |
Quadratic twists by: -3 |