Atkin-Lehner |
2+ 3+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022c |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
-1123937332645330944 = -1 · 221 · 32 · 138 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 -4 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,220204,-31843248] |
[a1,a2,a3,a4,a6] |
Generators |
[50155:1351681:125] |
Generators of the group modulo torsion |
j |
1447602828503/1377828864 |
j-invariant |
L |
5.265259491186 |
L(r)(E,1)/r! |
Ω |
0.15021181507014 |
Real period |
R |
5.8420387768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74022q1 |
Quadratic twists by: 13 |