Atkin-Lehner |
2+ 3- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37224j |
Isogeny class |
Conductor |
37224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
-2315630592 = -1 · 211 · 37 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11- -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30963,2097070] |
[a1,a2,a3,a4,a6] |
j |
-2198848612322/1551 |
j-invariant |
L |
4.8281510507318 |
L(r)(E,1)/r! |
Ω |
1.207037762684 |
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 |
74448a1 12408f1 |
Quadratic twists by: -4 -3 |