Atkin-Lehner |
2- 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850m |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-16092565000000 = -1 · 26 · 57 · 31 · 473 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 2 6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6287,21417] |
[a1,a2,a3,a4,a6] |
Generators |
[92:1129:1] |
Generators of the group modulo torsion |
j |
1758853833911/1029924160 |
j-invariant |
L |
6.778036790332 |
L(r)(E,1)/r! |
Ω |
0.42205011043405 |
Real period |
R |
0.22305266022329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14570a1 |
Quadratic twists by: 5 |