Atkin-Lehner |
2+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116242j |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-37726021216894976 = -1 · 218 · 7 · 197 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-237184,-45531136] |
[a1,a2,a3,a4,a6] |
Generators |
[453376:14929536:343] |
Generators of the group modulo torsion |
j |
-31366144171153/801898496 |
j-invariant |
L |
2.2503163142646 |
L(r)(E,1)/r! |
Ω |
0.10800461569149 |
Real period |
R |
5.2088429241423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6118l1 |
Quadratic twists by: -19 |