Atkin-Lehner |
2- 5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61880p |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-1021531005040 = -1 · 24 · 5 · 7 · 135 · 173 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 1 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2360,64885] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-169:1] |
Generators of the group modulo torsion |
j |
-90891599984896/63845687815 |
j-invariant |
L |
4.4710845590619 |
L(r)(E,1)/r! |
Ω |
0.80769870778018 |
Real period |
R |
0.55355846383119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123760j1 |
Quadratic twists by: -4 |