Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600x |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-238837760000000000 = -1 · 222 · 510 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58075,24122250] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:5376:1] |
Generators of the group modulo torsion |
j |
-338463151209/3731840000 |
j-invariant |
L |
5.6274766345295 |
L(r)(E,1)/r! |
Ω |
0.26629916387133 |
Real period |
R |
1.7610133632944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5950k1 9520g1 |
Quadratic twists by: -4 5 |