Atkin-Lehner |
3- 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37323k |
Isogeny class |
Conductor |
37323 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
89606512293988833 = 38 · 118 · 133 · 29 |
Discriminant |
Eigenvalues |
-1 3- 2 4 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-151439,-17486490] |
[a1,a2,a3,a4,a6] |
j |
526873911576930217/122917026466377 |
j-invariant |
L |
2.9530603516071 |
L(r)(E,1)/r! |
Ω |
0.24608836263372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12441b1 |
Quadratic twists by: -3 |