Atkin-Lehner |
2+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782c |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-4356852122168 = -1 · 23 · 78 · 133 · 43 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2179,92656] |
[a1,a2,a3,a4,a6] |
Generators |
[-53534:374635:2197] |
Generators of the group modulo torsion |
j |
198608375/755768 |
j-invariant |
L |
5.185142635952 |
L(r)(E,1)/r! |
Ω |
0.55288125811278 |
Real period |
R |
9.3784018899406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999119 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
54782p1 |
Quadratic twists by: -7 |