Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
65700p |
Isogeny class |
Conductor |
65700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1165452300000000 = -1 · 28 · 37 · 58 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15000,1482500] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-1314:1] |
Generators of the group modulo torsion |
j |
5120000/15987 |
j-invariant |
L |
6.6129728041913 |
L(r)(E,1)/r! |
Ω |
0.34416949494651 |
Real period |
R |
0.80059545538556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21900d1 65700c1 |
Quadratic twists by: -3 5 |