Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650cp |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-4717719855000000 = -1 · 26 · 310 · 57 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,25412,2915792] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-2206:1] |
Generators of the group modulo torsion |
j |
116149984977671/301934070720 |
j-invariant |
L |
12.423934845061 |
L(r)(E,1)/r! |
Ω |
0.30377267148758 |
Real period |
R |
0.68164650819366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530e1 |
Quadratic twists by: 5 |