Atkin-Lehner |
2- 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
40590bp |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-552138301440 = -1 · 213 · 36 · 5 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9752,374811] |
[a1,a2,a3,a4,a6] |
Generators |
[69:129:1] |
Generators of the group modulo torsion |
j |
-140681020636729/757391360 |
j-invariant |
L |
9.5435329560076 |
L(r)(E,1)/r! |
Ω |
0.92766185249527 |
Real period |
R |
0.39568185202287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510a1 |
Quadratic twists by: -3 |