Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40460h |
Isogeny class |
Conductor |
40460 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
15860320000 = 28 · 54 · 73 · 172 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 0 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3836,92536] |
[a1,a2,a3,a4,a6] |
Generators |
[66:350:1] |
Generators of the group modulo torsion |
j |
84398535376/214375 |
j-invariant |
L |
3.8394687020873 |
L(r)(E,1)/r! |
Ω |
1.2438595450458 |
Real period |
R |
0.17148545238261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40460m1 |
Quadratic twists by: 17 |