Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92480cs |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-55806059528000 = -1 · 26 · 53 · 178 |
Discriminant |
Eigenvalues |
2+ 3 5- 1 -2 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4913,-334084] |
[a1,a2,a3,a4,a6] |
Generators |
[45084:1843820:27] |
Generators of the group modulo torsion |
j |
29376/125 |
j-invariant |
L |
13.701947044781 |
L(r)(E,1)/r! |
Ω |
0.31768927152067 |
Real period |
R |
4.7922252890414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480ct1 46240h1 92480bh1 |
Quadratic twists by: -4 8 17 |