Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92480ct |
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 |
[0:578:1] |
Generators of the group modulo torsion |
j |
29376/125 |
j-invariant |
L |
3.7950641252539 |
L(r)(E,1)/r! |
Ω |
0.44898452451187 |
Real period |
R |
0.93917221776298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480cs1 46240z1 92480bd1 |
Quadratic twists by: -4 8 17 |