Atkin-Lehner |
3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44835ba |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
90104182120945125 = 315 · 53 · 77 · 61 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -5 -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-822530,286490684] |
[a1,a2,a3,a4,a6] |
Generators |
[-929:15802:1] [436:-3308:1] |
Generators of the group modulo torsion |
j |
523107854001270784/765872911125 |
j-invariant |
L |
5.9802402827766 |
L(r)(E,1)/r! |
Ω |
0.3389605093066 |
Real period |
R |
0.098016011347452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6405a1 |
Quadratic twists by: -7 |