Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760ch |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-122705497659801600 = -1 · 244 · 32 · 52 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-873441,-314937441] |
[a1,a2,a3,a4,a6] |
Generators |
[8919668211345:3916312967380992:46268279] |
Generators of the group modulo torsion |
j |
-281115640967896441/468084326400 |
j-invariant |
L |
5.2481310758028 |
L(r)(E,1)/r! |
Ω |
0.078076040592637 |
Real period |
R |
16.804550525253 |
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 |
29760l1 7440n1 89280fk1 |
Quadratic twists by: -4 8 -3 |