Atkin-Lehner |
2+ 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
106032i |
Isogeny class |
Conductor |
106032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15160320 |
Modular degree for the optimal curve |
Δ |
7735429830086325504 = 28 · 33 · 479 |
Discriminant |
Eigenvalues |
2+ 3+ -3 5 -5 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80428217,277653187509] |
[a1,a2,a3,a4,a6] |
j |
200829891584/27 |
j-invariant |
L |
1.4589980508257 |
L(r)(E,1)/r! |
Ω |
0.18237481228586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53016g1 106032h1 |
Quadratic twists by: -4 -47 |