Atkin-Lehner |
3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55473i |
Isogeny class |
Conductor |
55473 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
234192 |
Modular degree for the optimal curve |
Δ |
-790507597682979 = -1 · 32 · 11 · 418 |
Discriminant |
Eigenvalues |
2 3+ -1 0 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,22974,175493] |
[a1,a2,a3,a4,a6] |
Generators |
[93018:10030523:8] |
Generators of the group modulo torsion |
j |
167936/99 |
j-invariant |
L |
9.6503574864122 |
L(r)(E,1)/r! |
Ω |
0.30620292293699 |
Real period |
R |
5.2527026814962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55473o1 |
Quadratic twists by: 41 |