Atkin-Lehner |
2- 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
58650bq |
Isogeny class |
Conductor |
58650 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-43671986460000000 = -1 · 28 · 33 · 57 · 172 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50213,-10968469] |
[a1,a2,a3,a4,a6] |
j |
-896092277345929/2795007133440 |
j-invariant |
L |
2.3544995086743 |
L(r)(E,1)/r! |
Ω |
0.14715621944204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11730d1 |
Quadratic twists by: 5 |