Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200bj |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
28627200 |
Modular degree for the optimal curve |
Δ |
-1.4165309888112E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -3 7 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,58469667,56381553963] |
[a1,a2,a3,a4,a6] |
Generators |
[12633:1676700:1] |
Generators of the group modulo torsion |
j |
13816421800813898240/8853318680069907 |
j-invariant |
L |
10.355124818002 |
L(r)(E,1)/r! |
Ω |
0.043872262254305 |
Real period |
R |
1.311272048909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103200cf1 103200bz1 |
Quadratic twists by: -4 5 |