Atkin-Lehner |
2- 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850n |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-125723164062500 = -1 · 22 · 510 · 31 · 473 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 -4 -5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3480,-544353] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-2445:1] |
Generators of the group modulo torsion |
j |
-298211519241/8046282500 |
j-invariant |
L |
3.0009307664685 |
L(r)(E,1)/r! |
Ω |
0.25466918687875 |
Real period |
R |
0.98197024564268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14570d1 |
Quadratic twists by: 5 |