Atkin-Lehner |
2- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37696m |
Isogeny class |
Conductor |
37696 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1.6674750582967E+19 |
Discriminant |
Eigenvalues |
2- 2 -2 0 2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-946049,-404702431] |
[a1,a2,a3,a4,a6] |
Generators |
[107031061875765:-2759036752314368:72043225281] |
Generators of the group modulo torsion |
j |
-357211261606717153/63609125453824 |
j-invariant |
L |
7.9615893720948 |
L(r)(E,1)/r! |
Ω |
0.075805377626591 |
Real period |
R |
17.504451577988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37696g1 9424f1 |
Quadratic twists by: -4 8 |