Atkin-Lehner |
2+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
78650bj |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-1727940500 = -1 · 22 · 53 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ -1 5- -3 11- 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-420,3700] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:38:1] [15:25:1] |
Generators of the group modulo torsion |
j |
-543739493/114244 |
j-invariant |
L |
5.8593926510697 |
L(r)(E,1)/r! |
Ω |
1.4280536245834 |
Real period |
R |
0.25644137895175 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650da1 78650db1 |
Quadratic twists by: 5 -11 |