Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736cb |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6488064 |
Modular degree for the optimal curve |
Δ |
-1.9473817904023E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8492844,-11654620112] |
[a1,a2,a3,a4,a6] |
Generators |
[3747896963851989022902122301974898:1182978477469181474056898149278023680:37586597454920832682570747163] |
Generators of the group modulo torsion |
j |
-354499561600764553/101902222098432 |
j-invariant |
L |
8.6270096713732 |
L(r)(E,1)/r! |
Ω |
0.043570807219181 |
Real period |
R |
49.499941703765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736en1 2898r1 30912bd1 |
Quadratic twists by: -4 8 -3 |