Atkin-Lehner |
13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3757b |
Isogeny class |
Conductor |
3757 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15325739097877 = 133 · 178 |
Discriminant |
Eigenvalues |
-1 0 -4 2 -6 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3386412,2399446130] |
[a1,a2,a3,a4,a6] |
Generators |
[1271:11502:1] |
Generators of the group modulo torsion |
j |
177930109857804849/634933 |
j-invariant |
L |
1.474400460737 |
L(r)(E,1)/r! |
Ω |
0.46688713387887 |
Real period |
R |
3.1579376550555 |
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 |
60112p2 33813i2 93925f2 48841b2 |
Quadratic twists by: -4 -3 5 13 |