Atkin-Lehner |
2+ 3- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14586h |
Isogeny class |
Conductor |
14586 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
772310238681366528 = 224 · 3 · 11 · 136 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3295221,-2302254848] |
[a1,a2,a3,a4,a6] |
Generators |
[8542365:-256242406:3375] |
Generators of the group modulo torsion |
j |
3957101249824708884951625/772310238681366528 |
j-invariant |
L |
3.76014508499 |
L(r)(E,1)/r! |
Ω |
0.11205558832748 |
Real period |
R |
5.5926782131278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116688m3 43758t3 |
Quadratic twists by: -4 -3 |