Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41405l |
Isogeny class |
Conductor |
41405 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
1808663567750585 = 5 · 78 · 137 |
Discriminant |
Eigenvalues |
1 0 5- 7- 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-552239,-157805712] |
[a1,a2,a3,a4,a6] |
Generators |
[314541684:5915352078:300763] |
Generators of the group modulo torsion |
j |
32798729601/3185 |
j-invariant |
L |
6.7114649140704 |
L(r)(E,1)/r! |
Ω |
0.17513392457055 |
Real period |
R |
9.5804752427622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5915a1 3185a1 |
Quadratic twists by: -7 13 |