Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490bo |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
-378172912218750 = -1 · 2 · 33 · 56 · 117 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 3 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-170328980,855549038675] |
[a1,a2,a3,a4,a6] |
j |
-308484422503771629884761/213468750 |
j-invariant |
L |
5.5721240118827 |
L(r)(E,1)/r! |
Ω |
0.23217184067865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590d1 |
Quadratic twists by: -11 |