Atkin-Lehner |
2+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17680d |
Isogeny class |
Conductor |
17680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
282880 = 28 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-367,-2706] |
[a1,a2,a3,a4,a6] |
j |
21354132816/1105 |
j-invariant |
L |
2.1815460390673 |
L(r)(E,1)/r! |
Ω |
1.0907730195337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8840d1 70720bb1 88400b1 |
Quadratic twists by: -4 8 5 |