Atkin-Lehner |
2+ 3- 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910d |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39316792500 = 22 · 39 · 54 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2588760000,-50696765728164] |
[a1,a2,a3,a4,a6] |
Generators |
[311796482788273174315945606005:-89503185631842916363886771489259:2837725220711335933923875] |
Generators of the group modulo torsion |
j |
2631913140833100999516620160001/53932500 |
j-invariant |
L |
4.0876423777094 |
L(r)(E,1)/r! |
Ω |
0.021165406178233 |
Real period |
R |
48.282115924795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970w4 |
Quadratic twists by: -3 |