Atkin-Lehner |
3+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
83325d |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2483040 |
Modular degree for the optimal curve |
Δ |
143230997696027175 = 37 · 52 · 1110 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -5 11+ 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3046093,2044919396] |
[a1,a2,a3,a4,a6] |
Generators |
[179370:3050747:125] |
Generators of the group modulo torsion |
j |
125029699733349961985785/5729239907841087 |
j-invariant |
L |
2.4405617313877 |
L(r)(E,1)/r! |
Ω |
0.30734901809888 |
Real period |
R |
3.9703424925802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83325s1 |
Quadratic twists by: 5 |