Atkin-Lehner |
2- 3- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
44730ch |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
73056793320 = 23 · 36 · 5 · 7 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1202,-9079] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:91:1] |
Generators of the group modulo torsion |
j |
263251475929/100215080 |
j-invariant |
L |
10.110616415011 |
L(r)(E,1)/r! |
Ω |
0.83727168198036 |
Real period |
R |
2.0126116433891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970c1 |
Quadratic twists by: -3 |