Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400ct |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
300 |
Product of Tamagawa factors cp |
Δ |
-209105971200000000 = -1 · 217 · 35 · 58 · 75 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8792,22001588] |
[a1,a2,a3,a4,a6] |
Generators |
[1358:-50400:1] |
Generators of the group modulo torsion |
j |
46969655/130691232 |
j-invariant |
L |
5.235353741176 |
L(r)(E,1)/r! |
Ω |
0.24841213913238 |
Real period |
R |
0.070250911240507 |
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 |
1050d2 33600fv2 25200fn2 8400bh1 |
Quadratic twists by: -4 8 -3 5 |