Atkin-Lehner |
5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23275b |
Isogeny class |
Conductor |
23275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-445498046875 = -1 · 510 · 74 · 19 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7+ -3 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-408,-32406] |
[a1,a2,a3,a4,a6] |
Generators |
[53:312:1] |
Generators of the group modulo torsion |
j |
-200704/11875 |
j-invariant |
L |
1.8325307068032 |
L(r)(E,1)/r! |
Ω |
0.412908552763 |
Real period |
R |
1.1095257621456 |
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 |
4655b1 23275x1 |
Quadratic twists by: 5 -7 |