Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222q |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-26983910397708 = -1 · 22 · 313 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 11- -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5148,204268] |
[a1,a2,a3,a4,a6] |
Generators |
[182:-2764:1] |
Generators of the group modulo torsion |
j |
71608817375/128079468 |
j-invariant |
L |
4.1893065160354 |
L(r)(E,1)/r! |
Ω |
0.45808275581116 |
Real period |
R |
0.28579078116961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19074l1 57222n1 |
Quadratic twists by: -3 17 |