Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360bw |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-75463680 = -1 · 210 · 3 · 5 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40,420] |
[a1,a2,a3,a4,a6] |
Generators |
[3:24:1] |
Generators of the group modulo torsion |
j |
1372/15 |
j-invariant |
L |
7.2703829349414 |
L(r)(E,1)/r! |
Ω |
1.4265853162908 |
Real period |
R |
2.5481767025573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680bm1 69360h1 |
Quadratic twists by: -4 17 |