Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120v |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-30185848800000 = -1 · 28 · 312 · 55 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 -1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6432,174508] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:230:1] |
Generators of the group modulo torsion |
j |
157686431744/161746875 |
j-invariant |
L |
6.6924717009693 |
L(r)(E,1)/r! |
Ω |
0.43654808950772 |
Real period |
R |
3.832608515419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12780b1 17040ba1 |
Quadratic twists by: -4 -3 |