Atkin-Lehner |
2- 3+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34122o |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-1384462809805135104 = -1 · 28 · 35 · 118 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,63583,56299871] |
[a1,a2,a3,a4,a6] |
Generators |
[-313:2576:1] |
Generators of the group modulo torsion |
j |
132618725327/6458621184 |
j-invariant |
L |
9.5189733794113 |
L(r)(E,1)/r! |
Ω |
0.20519439604985 |
Real period |
R |
1.9329177523564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102366q1 34122e1 |
Quadratic twists by: -3 -11 |