Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
35360k |
Isogeny class |
Conductor |
35360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
35500600977920 = 29 · 5 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 0 4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10427,-292866] |
[a1,a2,a3,a4,a6] |
Generators |
[7811310:46614212:59319] |
Generators of the group modulo torsion |
j |
244867908488328/69337111285 |
j-invariant |
L |
6.0601460236314 |
L(r)(E,1)/r! |
Ω |
0.48260934339648 |
Real period |
R |
12.557042474523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35360l3 70720ba3 |
Quadratic twists by: -4 8 |