Atkin-Lehner |
2- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91840bq |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
5143040000 = 212 · 54 · 72 · 41 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2745,54343] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:120:1] [-9:280:1] |
Generators of the group modulo torsion |
j |
558661848256/1255625 |
j-invariant |
L |
8.6894499359888 |
L(r)(E,1)/r! |
Ω |
1.3652313287434 |
Real period |
R |
0.79560234158304 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91840bi1 45920c1 |
Quadratic twists by: -4 8 |