Atkin-Lehner |
7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22477l |
Isogeny class |
Conductor |
22477 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
2644396573 = 77 · 132 · 19 |
Discriminant |
Eigenvalues |
2 -1 2 7- -3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12692,-546141] |
[a1,a2,a3,a4,a6] |
j |
1338016334467072/15647317 |
j-invariant |
L |
3.1485640478028 |
L(r)(E,1)/r! |
Ω |
0.44979486397182 |
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 |
22477e1 |
Quadratic twists by: 13 |