Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640bm |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
5884577920000 = 210 · 54 · 13 · 294 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9712,349416] |
[a1,a2,a3,a4,a6] |
Generators |
[17:435:1] [-18:720:1] |
Generators of the group modulo torsion |
j |
98934958669824/5746658125 |
j-invariant |
L |
11.434377130341 |
L(r)(E,1)/r! |
Ω |
0.74580572846611 |
Real period |
R |
1.9164469864761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640cx1 7540a1 |
Quadratic twists by: -4 8 |