Atkin-Lehner |
13- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79781b |
Isogeny class |
Conductor |
79781 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-3330298283 = -1 · 134 · 17 · 193 |
Discriminant |
Eigenvalues |
-2 1 0 -2 2 13- 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-728,7816] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:123:1] [10:661:8] |
Generators of the group modulo torsion |
j |
-6229504000/485537 |
j-invariant |
L |
6.4814541321416 |
L(r)(E,1)/r! |
Ω |
1.3854852814602 |
Real period |
R |
0.5847638927463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998558 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79781a1 |
Quadratic twists by: -19 |