Atkin-Lehner |
2- 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4510f |
Isogeny class |
Conductor |
4510 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
35200 |
Modular degree for the optimal curve |
Δ |
-198933574400000 = -1 · 211 · 55 · 11 · 414 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 11+ -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14562,51117] |
[a1,a2,a3,a4,a6] |
Generators |
[25:643:1] |
Generators of the group modulo torsion |
j |
341518906942856271/198933574400000 |
j-invariant |
L |
3.4341625509873 |
L(r)(E,1)/r! |
Ω |
0.34100220804436 |
Real period |
R |
0.22888165250802 |
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 |
36080m1 40590v1 22550c1 49610c1 |
Quadratic twists by: -4 -3 5 -11 |