Atkin-Lehner |
7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
67963i |
Isogeny class |
Conductor |
67963 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-163179163 = -1 · 76 · 19 · 73 |
Discriminant |
Eigenvalues |
-2 0 -2 7- -2 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,49,600] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:9:1] [0:24:1] |
Generators of the group modulo torsion |
j |
110592/1387 |
j-invariant |
L |
4.1039439188734 |
L(r)(E,1)/r! |
Ω |
1.3425007305671 |
Real period |
R |
1.5284699015119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1387a1 |
Quadratic twists by: -7 |