Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440dk |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
62337600000000 = 212 · 34 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16320,-712332] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:270:1] [-69:300:1] |
Generators of the group modulo torsion |
j |
117368306527681/15219140625 |
j-invariant |
L |
13.691701607256 |
L(r)(E,1)/r! |
Ω |
0.42600406215472 |
Real period |
R |
1.0043699420926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997483 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215e1 |
Quadratic twists by: -4 |