Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hs |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-4011366240000000000 = -1 · 214 · 36 · 510 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-404145,-137940975] |
[a1,a2,a3,a4,a6] |
Generators |
[1845:73440:1] |
Generators of the group modulo torsion |
j |
-445570549505984464/244834365234375 |
j-invariant |
L |
7.4328212995675 |
L(r)(E,1)/r! |
Ω |
0.092313310123221 |
Real period |
R |
1.3419555050766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240el1 28560bn1 |
Quadratic twists by: -4 8 |