Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
63426s |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
11665920 |
Modular degree for the optimal curve |
Δ |
-2.9407881014175E+24 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4121709,-82442241135] |
[a1,a2,a3,a4,a6] |
j |
9079504214351/3448023220224 |
j-invariant |
L |
1.2041587698362 |
L(r)(E,1)/r! |
Ω |
0.03762996145515 |
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 |
63426bf1 |
Quadratic twists by: -31 |