Atkin-Lehner |
2+ 5+ 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550b |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-23702532700000000 = -1 · 28 · 58 · 7 · 112 · 234 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-775776,-263166802] |
[a1,a2,a3,a4,a6] |
Generators |
[4196:263161:1] |
Generators of the group modulo torsion |
j |
-3304546753777437169/1516962092800 |
j-invariant |
L |
2.3348664898781 |
L(r)(E,1)/r! |
Ω |
0.080431021190699 |
Real period |
R |
7.2573568631332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710e1 |
Quadratic twists by: 5 |