Atkin-Lehner |
2- 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72850o |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-27391600000000 = -1 · 210 · 58 · 31 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12130,-569503] |
[a1,a2,a3,a4,a6] |
Generators |
[489:10255:1] |
Generators of the group modulo torsion |
j |
-12631430086569/1753062400 |
j-invariant |
L |
11.045759074026 |
L(r)(E,1)/r! |
Ω |
0.22572106478371 |
Real period |
R |
2.4467718786481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14570b1 |
Quadratic twists by: 5 |