Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400x |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-102876480000000 = -1 · 212 · 38 · 57 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,488000] |
[a1,a2,a3,a4,a6] |
Generators |
[190:-2700:1] [-74:324:1] |
Generators of the group modulo torsion |
j |
-64/2205 |
j-invariant |
L |
9.2694804279031 |
L(r)(E,1)/r! |
Ω |
0.4764370227737 |
Real period |
R |
0.60799486506228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400bh2 100800lj1 16800bd2 10080cc2 |
Quadratic twists by: -4 8 -3 5 |