Atkin-Lehner |
2- 3- 5- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
40170t |
Isogeny class |
Conductor |
40170 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-135356832000 = -1 · 28 · 35 · 53 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1725,32625] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-825:1] |
Generators of the group modulo torsion |
j |
-567684119768401/135356832000 |
j-invariant |
L |
12.093744980122 |
L(r)(E,1)/r! |
Ω |
0.98930151225413 |
Real period |
R |
0.050935537305534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510e1 |
Quadratic twists by: -3 |