Atkin-Lehner |
2+ 7+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
76538b |
Isogeny class |
Conductor |
76538 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
811424241926144 = 214 · 78 · 112 · 71 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 11+ 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28347,-1235107] |
[a1,a2,a3,a4,a6] |
Generators |
[5538:31727:27] |
Generators of the group modulo torsion |
j |
437003224441/140754944 |
j-invariant |
L |
7.5399423250901 |
L(r)(E,1)/r! |
Ω |
0.37733340481362 |
Real period |
R |
1.6651812927249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76538m1 |
Quadratic twists by: -7 |