Atkin-Lehner |
2+ 3- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458q |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-7449421346695544832 = -1 · 232 · 36 · 7 · 112 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2159001,-1227534291] |
[a1,a2,a3,a4,a6] |
Generators |
[1031292189257099978:-526792347188047476069:3960060232661] |
Generators of the group modulo torsion |
j |
-1526703943653102339217/10218684974891008 |
j-invariant |
L |
6.0459210664067 |
L(r)(E,1)/r! |
Ω |
0.062249040442124 |
Real period |
R |
24.281181778168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162k1 |
Quadratic twists by: -3 |