Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736ce |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-138700246745088 = -1 · 220 · 36 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4716,-580176] |
[a1,a2,a3,a4,a6] |
Generators |
[166:1792:1] |
Generators of the group modulo torsion |
j |
-60698457/725788 |
j-invariant |
L |
5.0452704235297 |
L(r)(E,1)/r! |
Ω |
0.24811828588224 |
Real period |
R |
1.6945111491866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736eq1 2898q1 10304l1 |
Quadratic twists by: -4 8 -3 |