Atkin-Lehner |
2+ 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550h |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3551539062500000 = 25 · 512 · 112 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43292,-1938384] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:718:1] |
Generators of the group modulo torsion |
j |
574291354380561/227298500000 |
j-invariant |
L |
3.3801731589152 |
L(r)(E,1)/r! |
Ω |
0.34242815233763 |
Real period |
R |
2.4677973616428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999986247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24310w2 |
Quadratic twists by: 5 |