Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30380a |
Isogeny class |
Conductor |
30380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1240954122464000 = -1 · 28 · 53 · 79 · 312 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13981,-1805719] |
[a1,a2,a3,a4,a6] |
Generators |
[775:21266:1] |
Generators of the group modulo torsion |
j |
-10035552256/41202875 |
j-invariant |
L |
3.4161773310437 |
L(r)(E,1)/r! |
Ω |
0.2000743596975 |
Real period |
R |
0.71143909865327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121520bt1 4340a1 |
Quadratic twists by: -4 -7 |