Atkin-Lehner |
2+ 3- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518q |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
605010488592384 = 211 · 39 · 75 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -4 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27279,-1260819] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:714:1] |
Generators of the group modulo torsion |
j |
3079572809565169/829918365696 |
j-invariant |
L |
5.9005903618791 |
L(r)(E,1)/r! |
Ω |
0.37897589944036 |
Real period |
R |
0.77849150099445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37506y1 |
Quadratic twists by: -3 |