Atkin-Lehner |
3+ 5+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
81765a |
Isogeny class |
Conductor |
81765 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
154560 |
Modular degree for the optimal curve |
Δ |
2794063359375 = 39 · 57 · 23 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5+ 3 6 -2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15540,745181] |
[a1,a2,a3,a4,a6] |
Generators |
[3110:56873:8] |
Generators of the group modulo torsion |
j |
21086338940883/141953125 |
j-invariant |
L |
9.2164710158375 |
L(r)(E,1)/r! |
Ω |
0.81042054509149 |
Real period |
R |
5.6862274008579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81765c1 |
Quadratic twists by: -3 |