Atkin-Lehner |
2+ 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240c |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
27090000 = 24 · 32 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-911,10890] |
[a1,a2,a3,a4,a6] |
j |
5231611623424/1693125 |
j-invariant |
L |
2.0666104138872 |
L(r)(E,1)/r! |
Ω |
2.0666104055383 |
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 |
36120o1 |
Quadratic twists by: -4 |