Atkin-Lehner |
2- 31+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29264d |
Isogeny class |
Conductor |
29264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-7431651328 = -1 · 217 · 312 · 59 |
Discriminant |
Eigenvalues |
2- 2 0 5 -3 -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,5360] |
[a1,a2,a3,a4,a6] |
j |
-1838265625/1814368 |
j-invariant |
L |
4.8147168526751 |
L(r)(E,1)/r! |
Ω |
1.2036792131695 |
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 |
3658a1 117056n1 |
Quadratic twists by: -4 8 |