Atkin-Lehner |
3- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771o |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
333696 |
Modular degree for the optimal curve |
Δ |
4325976577461 = 3 · 7 · 118 · 312 |
Discriminant |
Eigenvalues |
-2 3- 3 7+ 11- 4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-23514,1376414] |
[a1,a2,a3,a4,a6] |
Generators |
[2532:1862:27] |
Generators of the group modulo torsion |
j |
6707802112/20181 |
j-invariant |
L |
5.4193241436629 |
L(r)(E,1)/r! |
Ω |
0.78013908405069 |
Real period |
R |
1.1577687995703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78771t1 |
Quadratic twists by: -11 |