Atkin-Lehner |
2+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126616a |
Isogeny class |
Conductor |
126616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-2341928177177344 = -1 · 28 · 78 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ 2 3 7+ 5 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120164,-16161004] |
[a1,a2,a3,a4,a6] |
Generators |
[16690:2155644:1] |
Generators of the group modulo torsion |
j |
-130024792912/1586899 |
j-invariant |
L |
13.900296981152 |
L(r)(E,1)/r! |
Ω |
0.12811797606619 |
Real period |
R |
9.041339122785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000010725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126616h1 |
Quadratic twists by: -7 |