Atkin-Lehner |
3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65559a |
Isogeny class |
Conductor |
65559 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
511680 |
Modular degree for the optimal curve |
Δ |
114911058972280311 = 33 · 13 · 419 |
Discriminant |
Eigenvalues |
-1 3+ -1 0 3 13+ -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-127791,6517302] |
[a1,a2,a3,a4,a6] |
Generators |
[69330:3445832:27] |
Generators of the group modulo torsion |
j |
704969/351 |
j-invariant |
L |
2.6691571892325 |
L(r)(E,1)/r! |
Ω |
0.2946805133532 |
Real period |
R |
4.5289000612233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65559g1 |
Quadratic twists by: 41 |