Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37544a |
Isogeny class |
Conductor |
37544 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-5878214971246592 = -1 · 211 · 132 · 198 |
Discriminant |
Eigenvalues |
2+ -1 0 -2 -5 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11432,-3662452] |
[a1,a2,a3,a4,a6] |
Generators |
[241:3610:1] |
Generators of the group modulo torsion |
j |
4750/169 |
j-invariant |
L |
2.3802028637407 |
L(r)(E,1)/r! |
Ω |
0.20502575695203 |
Real period |
R |
1.9348811738957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75088b1 37544l1 |
Quadratic twists by: -4 -19 |