Atkin-Lehner |
2+ 3+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
126582h |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-862248229632 = -1 · 28 · 37 · 172 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 4 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1969,-56747] |
[a1,a2,a3,a4,a6] |
j |
-2923530349177/2983557888 |
j-invariant |
L |
1.3769415394479 |
L(r)(E,1)/r! |
Ω |
0.34423510520684 |
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 |
126582w1 |
Quadratic twists by: 17 |