Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124608cm |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
64201626447552 = 26 · 39 · 114 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23864,1373550] |
[a1,a2,a3,a4,a6] |
Generators |
[31:814:1] |
Generators of the group modulo torsion |
j |
23485059120950848/1003150413243 |
j-invariant |
L |
3.7272139419511 |
L(r)(E,1)/r! |
Ω |
0.61468669903358 |
Real period |
R |
3.031799735682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608dd1 62304k2 |
Quadratic twists by: -4 8 |