Atkin-Lehner |
2- 3+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
27738i |
Isogeny class |
Conductor |
27738 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
135807970096368 = 24 · 39 · 235 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -3 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35129,-2462615] |
[a1,a2,a3,a4,a6] |
j |
243566856319851/6899759696 |
j-invariant |
L |
2.794639718943 |
L(r)(E,1)/r! |
Ω |
0.34932996486797 |
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 |
27738b1 |
Quadratic twists by: -3 |