Atkin-Lehner |
2+ 3+ 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582a |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
59930985465972288 = 26 · 312 · 176 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 6 -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-562255,161611621] |
[a1,a2,a3,a4,a6] |
Generators |
[136626:282983:343] |
Generators of the group modulo torsion |
j |
814388006841625/2482892352 |
j-invariant |
L |
5.8805744155832 |
L(r)(E,1)/r! |
Ω |
0.3524261422022 |
Real period |
R |
8.3429880612984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000377205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438d1 |
Quadratic twists by: 17 |