Atkin-Lehner |
3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92925bc |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
153703609597125 = 311 · 53 · 76 · 59 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -1 -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-841935,-297348044] |
[a1,a2,a3,a4,a6] |
Generators |
[-530:22:1] |
Generators of the group modulo torsion |
j |
724305632602886144/1686733713 |
j-invariant |
L |
2.3762232343996 |
L(r)(E,1)/r! |
Ω |
0.15760862288692 |
Real period |
R |
1.8845917030414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30975o1 92925bm1 |
Quadratic twists by: -3 5 |