Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ev |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-1.402014258405E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19822950,38451629125] |
[a1,a2,a3,a4,a6] |
Generators |
[2010:82025:1] |
Generators of the group modulo torsion |
j |
-1084767227025408/176547030625 |
j-invariant |
L |
4.9607500753145 |
L(r)(E,1)/r! |
Ω |
0.099700664544185 |
Real period |
R |
6.2195549318284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926133 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200j1 17640e1 12600bm1 |
Quadratic twists by: -3 5 -7 |