Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640bf |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
9.5138174318295E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 5 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2756545,1696974923] |
[a1,a2,a3,a4,a6] |
j |
25065245484338062336/1029455660473245 |
j-invariant |
L |
5.6471243307439 |
L(r)(E,1)/r! |
Ω |
0.18823748069563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320x1 86640e1 |
Quadratic twists by: -4 -19 |