Atkin-Lehner |
2- 7- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558bb |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-2287881344 = -1 · 27 · 73 · 31 · 412 |
Discriminant |
Eigenvalues |
2- -1 -1 7- -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-106,2295] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:35:1] [-13:47:1] |
Generators of the group modulo torsion |
j |
-384240583/6670208 |
j-invariant |
L |
13.1400344946 |
L(r)(E,1)/r! |
Ω |
1.2291737396593 |
Real period |
R |
0.38179057271191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124558w1 |
Quadratic twists by: -7 |