Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926o |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
45317446078464 = 212 · 37 · 76 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10593,-264195] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:327:1] |
Generators of the group modulo torsion |
j |
1532808577/528384 |
j-invariant |
L |
2.3596181292094 |
L(r)(E,1)/r! |
Ω |
0.48381561544228 |
Real period |
R |
1.219275512145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12642bi1 774b1 |
Quadratic twists by: -3 -7 |