Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29640s |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-106325400870000 = -1 · 24 · 316 · 54 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11376,677565] |
[a1,a2,a3,a4,a6] |
Generators |
[342:6075:1] |
Generators of the group modulo torsion |
j |
-10176786311344384/6645337554375 |
j-invariant |
L |
6.8781214239463 |
L(r)(E,1)/r! |
Ω |
0.54977968458773 |
Real period |
R |
0.1954794807119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59280b1 88920m1 |
Quadratic twists by: -4 -3 |