Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840dv |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-21798720 = -1 · 26 · 34 · 5 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80,330] |
[a1,a2,a3,a4,a6] |
j |
-895841344/340605 |
j-invariant |
L |
4.0386778828939 |
L(r)(E,1)/r! |
Ω |
2.0193389414467 |
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 |
27840ct1 13920r2 83520ex1 |
Quadratic twists by: -4 8 -3 |