Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81796m |
Isogeny class |
Conductor |
81796 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
389664 |
Modular degree for the optimal curve |
Δ |
-1122156737937664 = -1 · 28 · 1110 · 132 |
Discriminant |
Eigenvalues |
2- 2 3 -2 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63444,-6337384] |
[a1,a2,a3,a4,a6] |
Generators |
[13918610681287288408005318875452621815807684542930:597445816644935345287342852943814835188599685861573:7407262000982413488910205672939476341673300072] |
Generators of the group modulo torsion |
j |
-25168 |
j-invariant |
L |
11.708456548707 |
L(r)(E,1)/r! |
Ω |
0.15005867172521 |
Real period |
R |
78.025857580213 |
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 |
81796l1 81796n1 |
Quadratic twists by: -11 13 |