Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107712by |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24920064 |
Modular degree for the optimal curve |
Δ |
6.5000122751949E+25 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237189324,1351452113008] |
[a1,a2,a3,a4,a6] |
Generators |
[1460155896419927747802:-86245670923765750956032:238959357092407323] |
Generators of the group modulo torsion |
j |
7722211175253055152433/340131399900069888 |
j-invariant |
L |
7.1889470435758 |
L(r)(E,1)/r! |
Ω |
0.061372974558812 |
Real period |
R |
29.283846353041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712dk1 3366b1 35904bf1 |
Quadratic twists by: -4 8 -3 |