Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77658bd |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-147753741618 = -1 · 2 · 32 · 74 · 434 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -5 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-963,21699] |
[a1,a2,a3,a4,a6] |
Generators |
[-282:1023:8] |
Generators of the group modulo torsion |
j |
-28890625/43218 |
j-invariant |
L |
10.948978754167 |
L(r)(E,1)/r! |
Ω |
0.92551964959226 |
Real period |
R |
2.9575219601129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001303 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658m1 |
Quadratic twists by: -43 |