Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69360bh |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-535738171468800 = -1 · 210 · 3 · 52 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11464,1012260] |
[a1,a2,a3,a4,a6] |
Generators |
[96:1734:1] |
Generators of the group modulo torsion |
j |
23324/75 |
j-invariant |
L |
7.6363460804365 |
L(r)(E,1)/r! |
Ω |
0.36766585660255 |
Real period |
R |
0.86540830756572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680bh1 69360s1 |
Quadratic twists by: -4 17 |