Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92480cq |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-13684080640 = -1 · 215 · 5 · 174 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 3 5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-385,-6465] |
[a1,a2,a3,a4,a6] |
Generators |
[79:680:1] |
Generators of the group modulo torsion |
j |
-2312/5 |
j-invariant |
L |
6.5535841569695 |
L(r)(E,1)/r! |
Ω |
0.50474058528756 |
Real period |
R |
1.0820053489971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480cn1 46240d1 92480q1 |
Quadratic twists by: -4 8 17 |