Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640d |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
45088475040000 = 28 · 36 · 54 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93934356,350448022656] |
[a1,a2,a3,a4,a6] |
j |
358061097267989271289240144/176126855625 |
j-invariant |
L |
0.54410340103546 |
L(r)(E,1)/r! |
Ω |
0.27205170052859 |
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 |
19320x1 115920bj1 |
Quadratic twists by: -4 -3 |