Atkin-Lehner |
3+ 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11739b |
Isogeny class |
Conductor |
11739 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
369600 |
Modular degree for the optimal curve |
Δ |
534540755584017 = 314 · 7 · 135 · 43 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ -6 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2327587,1365836560] |
[a1,a2,a3,a4,a6] |
Generators |
[22784:3420284:1] |
Generators of the group modulo torsion |
j |
1394574668923027420092601/534540755584017 |
j-invariant |
L |
2.1122879494999 |
L(r)(E,1)/r! |
Ω |
0.42179029612048 |
Real period |
R |
10.015820510468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35217b1 82173i1 |
Quadratic twists by: -3 -7 |