Atkin-Lehner |
2- 3+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
101232j |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-453415698432 = -1 · 215 · 39 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 -6 6 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1917,-2430] |
[a1,a2,a3,a4,a6] |
j |
9663597/5624 |
j-invariant |
L |
4.4370870441296 |
L(r)(E,1)/r! |
Ω |
0.55463588163036 |
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 |
12654b1 101232k1 |
Quadratic twists by: -4 -3 |