Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944z |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-11219208142585856 = -1 · 226 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 1 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-319937,-69733439] |
[a1,a2,a3,a4,a6] |
j |
-117433042273/363776 |
j-invariant |
L |
0.40140488911244 |
L(r)(E,1)/r! |
Ω |
0.10035124548838 |
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 |
90944de1 2842f1 12992b1 |
Quadratic twists by: -4 8 -7 |