Atkin-Lehner |
37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1517b |
Isogeny class |
Conductor |
1517 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-1517 = -1 · 37 · 41 |
Discriminant |
Eigenvalues |
-1 1 4 4 -3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1,-2] |
[a1,a2,a3,a4,a6] |
j |
-117649/1517 |
j-invariant |
L |
2.036568260808 |
L(r)(E,1)/r! |
Ω |
2.036568260808 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24272f1 97088d1 13653b1 37925a1 |
Quadratic twists by: -4 8 -3 5 |