Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40896be |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-9.9681503709877E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 3 -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13251756,-18573918928] |
[a1,a2,a3,a4,a6] |
Generators |
[445400180158944740:-27650927836402010496:69756448167125] |
Generators of the group modulo torsion |
j |
-1346717656727992297/521611467264 |
j-invariant |
L |
7.7181155264089 |
L(r)(E,1)/r! |
Ω |
0.039563172637112 |
Real period |
R |
24.385416449037 |
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 |
40896bt1 1278l1 13632e1 |
Quadratic twists by: -4 8 -3 |