Atkin-Lehner |
2+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10912b |
Isogeny class |
Conductor |
10912 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1216 |
Modular degree for the optimal curve |
Δ |
-174592 = -1 · 29 · 11 · 31 |
Discriminant |
Eigenvalues |
2+ 0 2 -1 11- -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-179,-922] |
[a1,a2,a3,a4,a6] |
j |
-1238833224/341 |
j-invariant |
L |
1.3052061923817 |
L(r)(E,1)/r! |
Ω |
0.65260309619086 |
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 |
10912e1 21824c1 98208v1 120032f1 |
Quadratic twists by: -4 8 -3 -11 |