Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480h |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1462272 |
Modular degree for the optimal curve |
Δ |
-1942943768526848000 = -1 · 217 · 53 · 179 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 2 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-897441,333735359] |
[a1,a2,a3,a4,a6] |
Generators |
[547:2608:1] |
Generators of the group modulo torsion |
j |
-5142706/125 |
j-invariant |
L |
8.8674821629716 |
L(r)(E,1)/r! |
Ω |
0.26235631458418 |
Real period |
R |
4.2249231594511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007727 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480df1 11560c1 92480bx1 |
Quadratic twists by: -4 8 17 |