Atkin-Lehner |
2- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200cj |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-25464320000 = -1 · 212 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -6 2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-475,8650] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:70:1] [45:280:1] |
Generators of the group modulo torsion |
j |
-4629825/9947 |
j-invariant |
L |
6.5621610390631 |
L(r)(E,1)/r! |
Ω |
1.0593952713277 |
Real period |
R |
0.17206254928925 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5075i1 81200bd1 |
Quadratic twists by: -4 5 |