Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650ca |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-86964545457968750 = -1 · 2 · 57 · 117 · 134 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 11- 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-171480,-30752103] |
[a1,a2,a3,a4,a6] |
Generators |
[32342:2028725:8] |
Generators of the group modulo torsion |
j |
-20145851361/3141710 |
j-invariant |
L |
4.7970928183413 |
L(r)(E,1)/r! |
Ω |
0.11630627677808 |
Real period |
R |
2.5778342291596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730p1 7150k1 |
Quadratic twists by: 5 -11 |