Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77740i |
Isogeny class |
Conductor |
77740 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-600377810656000 = -1 · 28 · 53 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- -3 4 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3605,1183025] |
[a1,a2,a3,a4,a6] |
Generators |
[295:5070:1] |
Generators of the group modulo torsion |
j |
-4194304/485875 |
j-invariant |
L |
10.165506758262 |
L(r)(E,1)/r! |
Ω |
0.42279719709254 |
Real period |
R |
1.3357476808428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5980a1 |
Quadratic twists by: 13 |