Atkin-Lehner |
2- 3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736df |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-1786798669824 = -1 · 223 · 33 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 6 -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-714636,-232528112] |
[a1,a2,a3,a4,a6] |
Generators |
[590166830:34042264704:166375] |
Generators of the group modulo torsion |
j |
-5702623460245179/252448 |
j-invariant |
L |
8.4217970833157 |
L(r)(E,1)/r! |
Ω |
0.082100978905969 |
Real period |
R |
12.822315250073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736p1 23184bb1 92736cy2 |
Quadratic twists by: -4 8 -3 |