Atkin-Lehner |
3- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
49959l |
Isogeny class |
Conductor |
49959 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-100163030360211 = -1 · 36 · 75 · 133 · 612 |
Discriminant |
Eigenvalues |
2 3- 1 7- 6 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-32457,-2301597] |
[a1,a2,a3,a4,a6] |
Generators |
[2658:38853:8] |
Generators of the group modulo torsion |
j |
-5187060462628864/137397846859 |
j-invariant |
L |
14.544446605447 |
L(r)(E,1)/r! |
Ω |
0.17756751814248 |
Real period |
R |
1.3651564540637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5551c1 |
Quadratic twists by: -3 |