Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29610s |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
3802551728209920 = 224 · 39 · 5 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70583,-6562033] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:838:1] |
Generators of the group modulo torsion |
j |
53344635908334121/5216120340480 |
j-invariant |
L |
7.3164607948054 |
L(r)(E,1)/r! |
Ω |
0.29474550618536 |
Real period |
R |
0.51714534525451 |
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 |
9870i1 |
Quadratic twists by: -3 |