Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482cu |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
160007105014848 = 26 · 35 · 77 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18523,754193] |
[a1,a2,a3,a4,a6] |
Generators |
[32:425:1] |
Generators of the group modulo torsion |
j |
5974078398625/1360037952 |
j-invariant |
L |
15.018964885718 |
L(r)(E,1)/r! |
Ω |
0.54191176127111 |
Real period |
R |
0.46191298854384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926bc1 |
Quadratic twists by: -7 |