Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800bt |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-5.2996377401163E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 13- -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20639367,104707766637] |
[a1,a2,a3,a4,a6] |
Generators |
[315585591129:54030091863150:11089567] |
Generators of the group modulo torsion |
j |
243082010896493302784/1324909435029066315 |
j-invariant |
L |
4.4509973388219 |
L(r)(E,1)/r! |
Ω |
0.055121894623911 |
Real period |
R |
10.093533089688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17160j1 |
Quadratic twists by: 5 |