Atkin-Lehner |
2- 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119548l |
Isogeny class |
Conductor |
119548 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
1535474512 = 24 · 112 · 133 · 192 |
Discriminant |
Eigenvalues |
2- -3 -4 -2 11- 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352,1705] |
[a1,a2,a3,a4,a6] |
Generators |
[4:19:1] [-10:65:1] |
Generators of the group modulo torsion |
j |
2491416576/793117 |
j-invariant |
L |
4.6469551296539 |
L(r)(E,1)/r! |
Ω |
1.3926292531576 |
Real period |
R |
0.18537896818359 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999944616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119548f1 |
Quadratic twists by: -11 |