Atkin-Lehner |
3- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89661r |
Isogeny class |
Conductor |
89661 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
18659200 |
Modular degree for the optimal curve |
Δ |
-2.6706518351338E+24 |
Discriminant |
Eigenvalues |
-2 3- 1 1 11- 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,12277830,-76858567252] |
[a1,a2,a3,a4,a6] |
Generators |
[3396:63355:1] |
Generators of the group modulo torsion |
j |
115540013304585949184/1507513337183302371 |
j-invariant |
L |
4.2953530829233 |
L(r)(E,1)/r! |
Ω |
0.039682212525523 |
Real period |
R |
0.38658496508175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
741d1 |
Quadratic twists by: -11 |