Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240fs |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55683317760 = 218 · 3 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4961,135681] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:119:1] |
Generators of the group modulo torsion |
j |
51520374361/212415 |
j-invariant |
L |
5.4073939485828 |
L(r)(E,1)/r! |
Ω |
1.1225477636582 |
Real period |
R |
2.4085362446998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240cq2 28560dy2 |
Quadratic twists by: -4 8 |