Atkin-Lehner |
3+ 5- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
81765d |
Isogeny class |
Conductor |
81765 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
111168 |
Modular degree for the optimal curve |
Δ |
94595809095 = 39 · 5 · 233 · 79 |
Discriminant |
Eigenvalues |
-1 3+ 5- 5 -2 -6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1217,-6614] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-661:1] |
Generators of the group modulo torsion |
j |
10119744747/4805965 |
j-invariant |
L |
4.2136363204255 |
L(r)(E,1)/r! |
Ω |
0.84697124896166 |
Real period |
R |
0.82915768402098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81765b1 |
Quadratic twists by: -3 |