Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360a |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-1271702724006423280 = -1 · 24 · 5 · 117 · 138 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 11+ 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,148664,-49617699] |
[a1,a2,a3,a4,a6] |
Generators |
[794442367421430:45014701793304849:250642822625] |
Generators of the group modulo torsion |
j |
27840141056/97435855 |
j-invariant |
L |
7.0104539624965 |
L(r)(E,1)/r! |
Ω |
0.13863055623028 |
Real period |
R |
25.28466361648 |
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 |
74360t1 |
Quadratic twists by: 13 |