Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30800r |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
9856000 = 210 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115,450] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:30:1] |
Generators of the group modulo torsion |
j |
1314036/77 |
j-invariant |
L |
5.1347820450406 |
L(r)(E,1)/r! |
Ω |
2.2588166129876 |
Real period |
R |
1.1366088808443 |
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 |
15400w1 123200go1 30800w1 |
Quadratic twists by: -4 8 5 |