Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
74360u |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
6569699451560960 = 210 · 5 · 112 · 139 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-448920,-115556260] |
[a1,a2,a3,a4,a6] |
Generators |
[-831471818439129504:-240466483360901699:2114501126750208] |
Generators of the group modulo torsion |
j |
921385588/605 |
j-invariant |
L |
10.038749482825 |
L(r)(E,1)/r! |
Ω |
0.18444817078901 |
Real period |
R |
27.212927723923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74360b1 |
Quadratic twists by: 13 |