Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600y |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
11521168488000 = 26 · 310 · 53 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39838,-3069472] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:48:1] |
Generators of the group modulo torsion |
j |
874051874260928/1440146061 |
j-invariant |
L |
8.6896273552427 |
L(r)(E,1)/r! |
Ω |
0.33796151136035 |
Real period |
R |
2.5711884527626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600n1 69600bk1 |
Quadratic twists by: -4 5 |