Atkin-Lehner |
3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55233c |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57456 |
Modular degree for the optimal curve |
Δ |
-21594059379 = -1 · 33 · 17 · 196 |
Discriminant |
Eigenvalues |
2 3+ -1 -2 -3 5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1083,-15433] |
[a1,a2,a3,a4,a6] |
j |
-110592/17 |
j-invariant |
L |
0.82523562758804 |
L(r)(E,1)/r! |
Ω |
0.41261781355494 |
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 |
55233f1 153a1 |
Quadratic twists by: -3 -19 |