Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400co |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
17222625000000 = 26 · 39 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196425,-33507000] |
[a1,a2,a3,a4,a6] |
Generators |
[-3122020:-172250:12167] |
Generators of the group modulo torsion |
j |
42581671488/875 |
j-invariant |
L |
6.403704724092 |
L(r)(E,1)/r! |
Ω |
0.22677798894896 |
Real period |
R |
7.0594425342832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400cg1 100800jw1 50400k1 10080e1 |
Quadratic twists by: -4 8 -3 5 |