Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640ca |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-6.7485056586744E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-453536,-412203264] |
[a1,a2,a3,a4,a6] |
Generators |
[173843088:4675879936:132651] |
Generators of the group modulo torsion |
j |
-53540005609/350208000 |
j-invariant |
L |
5.1725762340783 |
L(r)(E,1)/r! |
Ω |
0.081918053440434 |
Real period |
R |
7.8929125126815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830bd1 4560w1 |
Quadratic twists by: -4 -19 |