Atkin-Lehner |
3- 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
44289g |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-10851262903971 = -1 · 38 · 73 · 194 · 37 |
Discriminant |
Eigenvalues |
2 3- 1 7+ -5 -7 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-53157,-4719911] |
[a1,a2,a3,a4,a6] |
j |
-22786497355608064/14885134299 |
j-invariant |
L |
1.2576286290441 |
L(r)(E,1)/r! |
Ω |
0.15720357866603 |
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 |
14763c1 |
Quadratic twists by: -3 |