Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816cu |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
154460492981600256 = 240 · 33 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-143617,-9064705] |
[a1,a2,a3,a4,a6] |
Generators |
[27524:190905:64] |
Generators of the group modulo torsion |
j |
1249695959916097/589220020224 |
j-invariant |
L |
11.198271445653 |
L(r)(E,1)/r! |
Ω |
0.25678891610953 |
Real period |
R |
7.2681430434618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90816e1 22704t1 |
Quadratic twists by: -4 8 |