Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
60840cc |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
1915116332249250000 = 24 · 320 · 56 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-524082,-129969619] |
[a1,a2,a3,a4,a6] |
Generators |
[-338:2925:1] |
Generators of the group modulo torsion |
j |
621217777580032/74733890625 |
j-invariant |
L |
5.8774616536379 |
L(r)(E,1)/r! |
Ω |
0.17883600303807 |
Real period |
R |
1.3693788242163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680bz1 20280f1 60840s1 |
Quadratic twists by: -4 -3 13 |