Atkin-Lehner |
2+ 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125426a |
Isogeny class |
Conductor |
125426 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-7.929628478034E+20 |
Discriminant |
Eigenvalues |
2+ -1 3 7+ 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-468041,-1360618427] |
[a1,a2,a3,a4,a6] |
Generators |
[1498776327247:42813338873867:915498611] |
Generators of the group modulo torsion |
j |
-469767891354553/32851810710656 |
j-invariant |
L |
4.0593742647114 |
L(r)(E,1)/r! |
Ω |
0.070146348798304 |
Real period |
R |
14.467518032847 |
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 |
7378j1 |
Quadratic twists by: 17 |