Atkin-Lehner |
2+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650d |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
207306500000000 = 28 · 59 · 17 · 293 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26992900,-53989950000] |
[a1,a2,a3,a4,a6] |
Generators |
[4236566322703925309178691241112:-835877769010484758573051906073924:107395556899602036683759337] |
Generators of the group modulo torsion |
j |
139204203138389622201409/13267616000 |
j-invariant |
L |
6.5213318862486 |
L(r)(E,1)/r! |
Ω |
0.066234942883196 |
Real period |
R |
49.228787724244 |
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 |
4930g3 |
Quadratic twists by: 5 |