Atkin-Lehner |
7- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
77273a |
Isogeny class |
Conductor |
77273 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
9091091177 = 78 · 19 · 83 |
Discriminant |
Eigenvalues |
1 0 -4 7- -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1724,-26741] |
[a1,a2,a3,a4,a6] |
Generators |
[5966:159599:8] |
Generators of the group modulo torsion |
j |
4818245769/77273 |
j-invariant |
L |
3.7918975611148 |
L(r)(E,1)/r! |
Ω |
0.74161011043295 |
Real period |
R |
5.1130607684793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11039a1 |
Quadratic twists by: -7 |