Atkin-Lehner |
3+ 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
112749h |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3207680 |
Modular degree for the optimal curve |
Δ |
-107830664843789979 = -1 · 310 · 79 · 13 · 592 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- -4 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-747854,-249179512] |
[a1,a2,a3,a4,a6] |
Generators |
[227320:8293163:125] |
Generators of the group modulo torsion |
j |
-1146284435132416/2672144397 |
j-invariant |
L |
3.4424634941971 |
L(r)(E,1)/r! |
Ω |
0.081162357033697 |
Real period |
R |
5.3018166731782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999977201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112749r1 |
Quadratic twists by: -7 |