Atkin-Lehner |
2- 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240bo |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-2124740940000000 = -1 · 28 · 3 · 57 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293501,-61143999] |
[a1,a2,a3,a4,a6] |
Generators |
[1033:27146:1] |
Generators of the group modulo torsion |
j |
-10922297016484225024/8299769296875 |
j-invariant |
L |
5.3574527815452 |
L(r)(E,1)/r! |
Ω |
0.10255273517271 |
Real period |
R |
3.7314967573136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18060i1 |
Quadratic twists by: -4 |