Atkin-Lehner |
3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
83475d |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-27390234375 = -1 · 33 · 58 · 72 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 2 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-792,-11509] |
[a1,a2,a3,a4,a6] |
j |
-130323843/64925 |
j-invariant |
L |
1.7582283777943 |
L(r)(E,1)/r! |
Ω |
0.43955711155311 |
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 |
83475a1 16695g1 |
Quadratic twists by: -3 5 |