Atkin-Lehner |
2+ 3- 7+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
119574j |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
2121355637856 = 25 · 310 · 7 · 133 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 5 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7938,-261068] |
[a1,a2,a3,a4,a6] |
Generators |
[-434:919:8] |
Generators of the group modulo torsion |
j |
75885751966753/2909952864 |
j-invariant |
L |
7.5266244228905 |
L(r)(E,1)/r! |
Ω |
0.50698325627978 |
Real period |
R |
2.4743172168673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39858l1 |
Quadratic twists by: -3 |