Atkin-Lehner |
2- 7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
116144i |
Isogeny class |
Conductor |
116144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
39837392 = 24 · 74 · 17 · 61 |
Discriminant |
Eigenvalues |
2- -2 -2 7+ 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-329,-2390] |
[a1,a2,a3,a4,a6] |
Generators |
[4260:33565:64] |
Generators of the group modulo torsion |
j |
246894149632/2489837 |
j-invariant |
L |
2.9016400086333 |
L(r)(E,1)/r! |
Ω |
1.1213859437017 |
Real period |
R |
5.1750960136004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000155616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29036e1 |
Quadratic twists by: -4 |