Atkin-Lehner |
2+ 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
2952a |
Isogeny class |
Conductor |
2952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-2267136 = -1 · 211 · 33 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 0 -3 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99,-386] |
[a1,a2,a3,a4,a6] |
j |
-1940598/41 |
j-invariant |
L |
1.5116367459667 |
L(r)(E,1)/r! |
Ω |
0.75581837298333 |
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 |
5904b1 23616d1 2952d1 73800bs1 |
Quadratic twists by: -4 8 -3 5 |