Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720cp |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-6758022316032000 = -1 · 219 · 39 · 53 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 1 13- -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55840,-6418688] |
[a1,a2,a3,a4,a6] |
Generators |
[714:17810:1] |
Generators of the group modulo torsion |
j |
-4701189640361761/1649907792000 |
j-invariant |
L |
6.783648688692 |
L(r)(E,1)/r! |
Ω |
0.15259103936557 |
Real period |
R |
3.7047002119013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090bl1 |
Quadratic twists by: -4 |