Atkin-Lehner |
3+ 5- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
81765c |
Isogeny class |
Conductor |
81765 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
51520 |
Modular degree for the optimal curve |
Δ |
3832734375 = 33 · 57 · 23 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 -6 -2 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1727,-27024] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:24:1] |
Generators of the group modulo torsion |
j |
21086338940883/141953125 |
j-invariant |
L |
4.0313720304313 |
L(r)(E,1)/r! |
Ω |
0.74092165964608 |
Real period |
R |
0.38864452244903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81765a1 |
Quadratic twists by: -3 |