Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7104s |
Isogeny class |
Conductor |
7104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
1257193835712 = 26 · 315 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 4 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19131888,-32203188450] |
[a1,a2,a3,a4,a6] |
Generators |
[-34533223826483541276431598952751744176083965449944614168498:1820317631273345694439414857554403064248160403253686903:13676527202119271400549769759237964949234235924661399768] |
Generators of the group modulo torsion |
j |
12100888248456939565096000/19643653683 |
j-invariant |
L |
3.1200134180698 |
L(r)(E,1)/r! |
Ω |
0.072187183150125 |
Real period |
R |
86.442309615578 |
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 |
7104z1 3552d2 21312ch1 |
Quadratic twists by: -4 8 -3 |