Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498bw |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-50364395298 = -1 · 2 · 36 · 72 · 893 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2435,-46875] |
[a1,a2,a3,a4,a6] |
Generators |
[20446:1023063:8] |
Generators of the group modulo torsion |
j |
-44681709625/1409938 |
j-invariant |
L |
10.486075883383 |
L(r)(E,1)/r! |
Ω |
0.33919734689935 |
Real period |
R |
5.1523967665671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8722f1 78498bk1 |
Quadratic twists by: -3 -7 |