Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218cb |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-31255108092 = -1 · 22 · 313 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 4 1 -3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18518,-965311] |
[a1,a2,a3,a4,a6] |
Generators |
[3105525:26285281:15625] |
Generators of the group modulo torsion |
j |
-5699932747249/253692 |
j-invariant |
L |
14.23293699671 |
L(r)(E,1)/r! |
Ω |
0.20463113428424 |
Real period |
R |
8.6942640993921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000918 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29406l1 88218v1 |
Quadratic twists by: -3 13 |