Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1950d |
Isogeny class |
Conductor |
1950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
33696000000000 = 214 · 34 · 59 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -6 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8075,-7875] |
[a1,a2,a3,a4,a6] |
j |
29819839301/17252352 |
j-invariant |
L |
1.1040566303406 |
L(r)(E,1)/r! |
Ω |
0.55202831517028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600cr1 62400dv1 5850by1 1950bb1 |
Quadratic twists by: -4 8 -3 5 |