Atkin-Lehner |
2+ 3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
80106a |
Isogeny class |
Conductor |
80106 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
723820709203488 = 25 · 33 · 139 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 -2 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26029,-978947] |
[a1,a2,a3,a4,a6] |
Generators |
[-18123:181357:343] |
Generators of the group modulo torsion |
j |
404075127457/149958432 |
j-invariant |
L |
4.9140650172808 |
L(r)(E,1)/r! |
Ω |
0.38763875038408 |
Real period |
R |
6.3384594676821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162n1 |
Quadratic twists by: 13 |