Atkin-Lehner |
2- 5- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
40120d |
Isogeny class |
Conductor |
40120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
-1239551063398400 = -1 · 211 · 52 · 177 · 59 |
Discriminant |
Eigenvalues |
2- 1 5- -4 0 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-214080,-38234272] |
[a1,a2,a3,a4,a6] |
j |
-529814788900007042/605249542675 |
j-invariant |
L |
1.9974141620952 |
L(r)(E,1)/r! |
Ω |
0.11096745345102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80240b1 |
Quadratic twists by: -4 |