Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117624bg |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
30658423418064 = 24 · 34 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133059,-18635436] |
[a1,a2,a3,a4,a6] |
Generators |
[425:1183:1] [464:4394:1] |
Generators of the group modulo torsion |
j |
3373491693568/396981 |
j-invariant |
L |
9.3787871914679 |
L(r)(E,1)/r! |
Ω |
0.24997195425588 |
Real period |
R |
9.3798394464138 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9048c1 |
Quadratic twists by: 13 |