Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480bf |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1075678210949120 = -1 · 219 · 5 · 177 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 -4 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188428,-31521808] |
[a1,a2,a3,a4,a6] |
Generators |
[8989902:997690400:729] |
Generators of the group modulo torsion |
j |
-116930169/170 |
j-invariant |
L |
10.614774154988 |
L(r)(E,1)/r! |
Ω |
0.11456325647833 |
Real period |
R |
11.581782939817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480do1 2890l1 5440p1 |
Quadratic twists by: -4 8 17 |