Atkin-Lehner |
3- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
76995f |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2475551153857E+33 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31754406713,-1362248591994808] |
[a1,a2,a3,a4,a6] |
Generators |
[-1303577103187128674636193638456548855121827968669230393302019468154:413807736366297080353481588700718103534377129038715166666209596782491:20194088281584638064600880649933040894661817290321445759787793] |
Generators of the group modulo torsion |
j |
4857448364590583659066411267427401/1711323889417906555565739965625 |
j-invariant |
L |
4.3374083680388 |
L(r)(E,1)/r! |
Ω |
0.011637636596096 |
Real period |
R |
93.176314886262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25665l3 |
Quadratic twists by: -3 |