Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480dz |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-107567821094912000 = -1 · 221 · 53 · 177 |
Discriminant |
Eigenvalues |
2- -1 5- 2 0 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46625,-16233023] |
[a1,a2,a3,a4,a6] |
Generators |
[839:23120:1] |
Generators of the group modulo torsion |
j |
-1771561/17000 |
j-invariant |
L |
5.4965340638561 |
L(r)(E,1)/r! |
Ω |
0.14169460326373 |
Real period |
R |
1.6163089292241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480bv1 23120q1 5440q1 |
Quadratic twists by: -4 8 17 |