Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30400bw |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-9728000000 = -1 · 215 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 -2 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,500,2000] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:800:27] |
Generators of the group modulo torsion |
j |
27000/19 |
j-invariant |
L |
10.041606540943 |
L(r)(E,1)/r! |
Ω |
0.8183466652569 |
Real period |
R |
3.0676505957872 |
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 |
30400bl1 15200c1 1216r1 |
Quadratic twists by: -4 8 5 |