Atkin-Lehner |
2- 3+ 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650br |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-1269504000000 = -1 · 214 · 32 · 56 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2913,80031] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-208:1] [-35:392:1] |
Generators of the group modulo torsion |
j |
-174958262857/81248256 |
j-invariant |
L |
12.100333760207 |
L(r)(E,1)/r! |
Ω |
0.80410784449097 |
Real period |
R |
0.53743385307703 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3306e1 |
Quadratic twists by: 5 |