Atkin-Lehner |
3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16245i |
Isogeny class |
Conductor |
16245 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
557145785560005 = 38 · 5 · 198 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 3 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20577,32580] |
[a1,a2,a3,a4,a6] |
Generators |
[0:180:1] |
Generators of the group modulo torsion |
j |
77824/45 |
j-invariant |
L |
2.7557681070677 |
L(r)(E,1)/r! |
Ω |
0.43953314372579 |
Real period |
R |
1.0449602972326 |
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 |
5415g1 81225u1 16245m1 |
Quadratic twists by: -3 5 -19 |