Atkin-Lehner |
2+ 5+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550n |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-592563317500000000 = -1 · 28 · 510 · 7 · 112 · 234 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,205183,9537341] |
[a1,a2,a3,a4,a6] |
j |
61140167145864351/37924052320000 |
j-invariant |
L |
0.71759923962392 |
L(r)(E,1)/r! |
Ω |
0.17939979453994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710d1 |
Quadratic twists by: 5 |