Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218u |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-3724998445294776 = -1 · 23 · 39 · 138 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 2 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,38754,-17172] |
[a1,a2,a3,a4,a6] |
j |
1829276567/1058616 |
j-invariant |
L |
1.0567989663195 |
L(r)(E,1)/r! |
Ω |
0.26419974360854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29406bc1 6786l1 |
Quadratic twists by: -3 13 |