Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840dw |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-240903445005000000 = -1 · 26 · 34 · 57 · 296 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,31000,23531250] |
[a1,a2,a3,a4,a6] |
j |
51477187409855936/3764116328203125 |
j-invariant |
L |
3.3428098975401 |
L(r)(E,1)/r! |
Ω |
0.23877213553864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27840cs1 13920b2 83520eu1 |
Quadratic twists by: -4 8 -3 |