Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640cn |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
358252544000 = 218 · 53 · 13 · 292 |
Discriminant |
Eigenvalues |
2- -2 5- 0 6 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2785,47775] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:320:1] |
Generators of the group modulo torsion |
j |
9116230969/1366625 |
j-invariant |
L |
5.9932038094855 |
L(r)(E,1)/r! |
Ω |
0.91713560567527 |
Real period |
R |
1.0891162425611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000168279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640bc1 30160w1 |
Quadratic twists by: -4 8 |