Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944f |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
3511334989541499904 = 210 · 78 · 296 |
Discriminant |
Eigenvalues |
2+ 3 1 7+ -5 -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1894732,999795608] |
[a1,a2,a3,a4,a6] |
Generators |
[192261205977770370:21614327933922440569:883906819173000] |
Generators of the group modulo torsion |
j |
127433263474944/594823321 |
j-invariant |
L |
12.484358598042 |
L(r)(E,1)/r! |
Ω |
0.25138958310267 |
Real period |
R |
24.830699911984 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944cs1 11368i1 90944bh1 |
Quadratic twists by: -4 8 -7 |