Atkin-Lehner |
2- 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
48840v |
Isogeny class |
Conductor |
48840 |
Conductor |
∏ cp |
455 |
Product of Tamagawa factors cp |
deg |
273960960 |
Modular degree for the optimal curve |
Δ |
8.3768799793393E+32 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -5 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23682418816,169337021717984] |
[a1,a2,a3,a4,a6] |
Generators |
[-115574:180391761:8] |
Generators of the group modulo torsion |
j |
717252270098777664984589306173698/409027342741177053668189765625 |
j-invariant |
L |
5.2523150801622 |
L(r)(E,1)/r! |
Ω |
0.013595599691054 |
Real period |
R |
0.84906513056054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97680b1 |
Quadratic twists by: -4 |