Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200bm |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-9419200000000 = -1 · 212 · 58 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2408,155312] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:3219:8] |
Generators of the group modulo torsion |
j |
-24137569/147175 |
j-invariant |
L |
10.431460027457 |
L(r)(E,1)/r! |
Ω |
0.62857086615696 |
Real period |
R |
4.148879857364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005138 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5075a1 16240k1 |
Quadratic twists by: -4 5 |