Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926r |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36771840 |
Modular degree for the optimal curve |
Δ |
1.633185437157E+28 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -6 -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-733980123,4558116003237] |
[a1,a2,a3,a4,a6] |
Generators |
[-48164609085:-160630918971846:71473375] |
Generators of the group modulo torsion |
j |
509871621645082002682657/190423143557704974336 |
j-invariant |
L |
4.5409916882702 |
L(r)(E,1)/r! |
Ω |
0.035745392232943 |
Real period |
R |
15.879640020026 |
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 |
12642bl1 5418e1 |
Quadratic twists by: -3 -7 |