Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400bp |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16533720000000 = 29 · 310 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84675,9481750] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:4050:1] |
Generators of the group modulo torsion |
j |
11512557512/2835 |
j-invariant |
L |
6.2779653047025 |
L(r)(E,1)/r! |
Ω |
0.6778107616599 |
Real period |
R |
1.1577651277806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400dj4 100800fv4 16800ca2 10080bx3 |
Quadratic twists by: -4 8 -3 5 |