Atkin-Lehner |
2- 5+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550bl |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
176256 |
Modular degree for the optimal curve |
Δ |
7084996187500 = 22 · 56 · 7 · 113 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7788,-234719] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:183:1] |
Generators of the group modulo torsion |
j |
3343374301177/453439756 |
j-invariant |
L |
7.0232211255466 |
L(r)(E,1)/r! |
Ω |
0.51277468938037 |
Real period |
R |
2.2827508432375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542i1 |
Quadratic twists by: 5 |