Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560bb |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-14151896718750000 = -1 · 24 · 32 · 510 · 72 · 593 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,46585,-4232400] |
[a1,a2,a3,a4,a6] |
Generators |
[580:-14750:1] |
Generators of the group modulo torsion |
j |
698767514069264384/884493544921875 |
j-invariant |
L |
5.8644868518121 |
L(r)(E,1)/r! |
Ω |
0.21179616421715 |
Real period |
R |
0.461488279977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120ba1 |
Quadratic twists by: -4 |