Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126616q |
Isogeny class |
Conductor |
126616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
739340198912 = 210 · 76 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 2 -4 7- -4 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2760,38396] |
[a1,a2,a3,a4,a6] |
Generators |
[14:48:1] |
Generators of the group modulo torsion |
j |
19307236/6137 |
j-invariant |
L |
4.6658924072909 |
L(r)(E,1)/r! |
Ω |
0.83239352039854 |
Real period |
R |
2.8026962972335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998550472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2584b1 |
Quadratic twists by: -7 |