Atkin-Lehner |
2- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91840bk |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
3161200394240000 = 220 · 54 · 76 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 6 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6432545,-6281605025] |
[a1,a2,a3,a4,a6] |
Generators |
[100545:31871560:1] |
Generators of the group modulo torsion |
j |
112287744132511049929/12059022500 |
j-invariant |
L |
5.0916414503588 |
L(r)(E,1)/r! |
Ω |
0.09479901908507 |
Real period |
R |
6.7137317179522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91840t1 22960i1 |
Quadratic twists by: -4 8 |