Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218bq |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-15851916663717888 = -1 · 222 · 33 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-345806,78590685] |
[a1,a2,a3,a4,a6] |
Generators |
[153:-5485:1] |
Generators of the group modulo torsion |
j |
-35091039199419/121634816 |
j-invariant |
L |
6.062810804494 |
L(r)(E,1)/r! |
Ω |
0.39393969200229 |
Real period |
R |
0.34977728197381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88218d1 522b1 |
Quadratic twists by: -3 13 |