Atkin-Lehner |
2- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124100d |
Isogeny class |
Conductor |
124100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
174400697541250000 = 24 · 57 · 173 · 734 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160300,14371125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1613225:85325856:15625] |
Generators of the group modulo torsion |
j |
1822150608961536/697602790165 |
j-invariant |
L |
9.4187283230981 |
L(r)(E,1)/r! |
Ω |
0.29283904519096 |
Real period |
R |
10.721166282098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24820a1 |
Quadratic twists by: 5 |