Atkin-Lehner |
2+ 3- 19+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
34542b |
Isogeny class |
Conductor |
34542 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-12892732416 = -1 · 210 · 38 · 19 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,72,5440] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:71:1] |
Generators of the group modulo torsion |
j |
56181887/17685504 |
j-invariant |
L |
3.3055923940324 |
L(r)(E,1)/r! |
Ω |
0.97857931452992 |
Real period |
R |
1.6889752036197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11514b1 |
Quadratic twists by: -3 |