Atkin-Lehner |
3+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771a |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-314041199592887613 = -1 · 39 · 74 · 118 · 31 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 11- 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2496595,1517543878] |
[a1,a2,a3,a4,a6] |
j |
-8028359138721625/1465025373 |
j-invariant |
L |
1.7796311820047 |
L(r)(E,1)/r! |
Ω |
0.2966051978754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78771g1 |
Quadratic twists by: -11 |