Atkin-Lehner |
3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78771g |
Isogeny class |
Conductor |
78771 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-177268070133 = -1 · 39 · 74 · 112 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11- -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20633,-1149532] |
[a1,a2,a3,a4,a6] |
Generators |
[208:1796:1] |
Generators of the group modulo torsion |
j |
-8028359138721625/1465025373 |
j-invariant |
L |
3.3580847071109 |
L(r)(E,1)/r! |
Ω |
0.19917008116749 |
Real period |
R |
4.2150968231332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78771a1 |
Quadratic twists by: -11 |