Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96824a |
Isogeny class |
Conductor |
96824 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1337683872831488 = -1 · 211 · 77 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 1 -4 7- 3 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22360,-2187536] |
[a1,a2,a3,a4,a6] |
Generators |
[219:1862:1] |
Generators of the group modulo torsion |
j |
-5131452818/5551819 |
j-invariant |
L |
5.2605234959535 |
L(r)(E,1)/r! |
Ω |
0.18721895181088 |
Real period |
R |
2.3415202021311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13832a1 |
Quadratic twists by: -7 |