Atkin-Lehner |
2- 3- 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21390s |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-16113087000000 = -1 · 26 · 36 · 56 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5255,126137] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:203:1] |
Generators of the group modulo torsion |
j |
16048583565127919/16113087000000 |
j-invariant |
L |
8.7372817117294 |
L(r)(E,1)/r! |
Ω |
0.45913538823064 |
Real period |
R |
1.5858215854733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
64170m1 106950n1 |
Quadratic twists by: -3 5 |