Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120f |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
9.0448956502129E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2749686,-992178864] |
[a1,a2,a3,a4,a6] |
Generators |
[59689692966:552963608873:32157432] |
Generators of the group modulo torsion |
j |
7442744143086784/2927948765625 |
j-invariant |
L |
3.4679671414196 |
L(r)(E,1)/r! |
Ω |
0.12125848473818 |
Real period |
R |
14.299894774573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909441 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81120s1 6240z1 |
Quadratic twists by: -4 13 |