Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240el |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
720 |
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 |
[-315:-15300:1] [-621:12240:1] |
Generators of the group modulo torsion |
j |
-445570549505984464/244834365234375 |
j-invariant |
L |
14.000587528491 |
L(r)(E,1)/r! |
Ω |
0.22976431001804 |
Real period |
R |
0.33852534290137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hs1 14280c1 |
Quadratic twists by: -4 8 |