Atkin-Lehner |
2+ 3+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672a |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2524722939648 = -1 · 28 · 35 · 72 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,772,75744] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:68:1] |
Generators of the group modulo torsion |
j |
198505694000/9862198983 |
j-invariant |
L |
5.2219608258043 |
L(r)(E,1)/r! |
Ω |
0.61738199129637 |
Real period |
R |
4.2291165318083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336g1 |
Quadratic twists by: -4 |