Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600bq |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-30052288000000 = -1 · 212 · 56 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2075,266250] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:550:1] [-1:518:1] |
Generators of the group modulo torsion |
j |
-15438249/469567 |
j-invariant |
L |
11.055350349693 |
L(r)(E,1)/r! |
Ω |
0.55227773255275 |
Real period |
R |
1.668144742354 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6475a1 4144f1 |
Quadratic twists by: -4 5 |