Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360g |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-9721600 = -1 · 28 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36,-160] |
[a1,a2,a3,a4,a6] |
Generators |
[154:615:8] |
Generators of the group modulo torsion |
j |
-20720464/37975 |
j-invariant |
L |
6.8137462138297 |
L(r)(E,1)/r! |
Ω |
0.9165396905712 |
Real period |
R |
3.7171037348003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680l1 69440ec1 86800l1 121520u1 |
Quadratic twists by: -4 8 5 -7 |