Atkin-Lehner |
2+ 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89590g |
Isogeny class |
Conductor |
89590 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-2605158167142400000 = -1 · 216 · 55 · 177 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 -1 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2047138,-1130217612] |
[a1,a2,a3,a4,a6] |
Generators |
[8269:735705:1] |
Generators of the group modulo torsion |
j |
-39307121282620729/107929600000 |
j-invariant |
L |
2.8042786259392 |
L(r)(E,1)/r! |
Ω |
0.063097387685559 |
Real period |
R |
2.2221828343154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999637672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5270a1 |
Quadratic twists by: 17 |