Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040br |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-6403745330838000 = -1 · 24 · 33 · 53 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -5 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,44217,-1419857] |
[a1,a2,a3,a4,a6] |
Generators |
[578:-14739:1] [137:2685:1] |
Generators of the group modulo torsion |
j |
186624/125 |
j-invariant |
L |
9.9948412235983 |
L(r)(E,1)/r! |
Ω |
0.24042933861826 |
Real period |
R |
5.1963506623739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104040g1 104040bt1 |
Quadratic twists by: -3 17 |