Atkin-Lehner |
2+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78736b |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-32768033536 = -1 · 28 · 7 · 192 · 373 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 3 7 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,8731] |
[a1,a2,a3,a4,a6] |
Generators |
[42:703:8] |
Generators of the group modulo torsion |
j |
-4942652416/128000131 |
j-invariant |
L |
5.7544302404087 |
L(r)(E,1)/r! |
Ω |
0.97763086490373 |
Real period |
R |
0.98101619036485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39368c1 |
Quadratic twists by: -4 |