Atkin-Lehner |
3+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
2937a |
Isogeny class |
Conductor |
2937 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4824 |
Modular degree for the optimal curve |
Δ |
-2303133723 = -1 · 33 · 112 · 893 |
Discriminant |
Eigenvalues |
-2 3+ -2 -2 11- 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6194,-185596] |
[a1,a2,a3,a4,a6] |
j |
-26284966548631552/2303133723 |
j-invariant |
L |
0.53814415618108 |
L(r)(E,1)/r! |
Ω |
0.26907207809054 |
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 |
46992j1 8811d1 73425m1 32307b1 |
Quadratic twists by: -4 -3 5 -11 |