Atkin-Lehner |
29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51301a |
Isogeny class |
Conductor |
51301 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
-53981090176208549 = -1 · 299 · 612 |
Discriminant |
Eigenvalues |
1 -1 3 4 -1 1 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2139521,-1205488538] |
[a1,a2,a3,a4,a6] |
j |
-1820898350896897/90751469 |
j-invariant |
L |
1.9972805547645 |
L(r)(E,1)/r! |
Ω |
0.062415017346659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1769a1 |
Quadratic twists by: 29 |