Atkin-Lehner |
2- 5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
71920r |
Isogeny class |
Conductor |
71920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3596000000 = -1 · 28 · 56 · 29 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- -1 -3 0 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125,2977] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-50:1] [24:115:1] |
Generators of the group modulo torsion |
j |
-850518016/14046875 |
j-invariant |
L |
8.9000380570991 |
L(r)(E,1)/r! |
Ω |
1.1848412714542 |
Real period |
R |
0.62596556683514 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17980f1 |
Quadratic twists by: -4 |