Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200ef |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-1.16644922208E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,657167,477676463] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:21384:1] |
Generators of the group modulo torsion |
j |
980844844912/3645153819 |
j-invariant |
L |
10.321367153514 |
L(r)(E,1)/r! |
Ω |
0.1328143743988 |
Real period |
R |
3.2380302715219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200hd1 11400h1 91200bs1 |
Quadratic twists by: -4 8 5 |