Atkin-Lehner |
2+ 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666b |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-26611855088364 = -1 · 22 · 39 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 5 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4293,269001] |
[a1,a2,a3,a4,a6] |
Generators |
[1:514:1] |
Generators of the group modulo torsion |
j |
-51793794721201/157466598156 |
j-invariant |
L |
3.9793557069779 |
L(r)(E,1)/r! |
Ω |
0.58741686783525 |
Real period |
R |
1.693582493376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120666bl1 |
Quadratic twists by: 13 |