Atkin-Lehner |
11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
101761h |
Isogeny class |
Conductor |
101761 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
3697664182985650229 = 118 · 297 |
Discriminant |
Eigenvalues |
-2 0 -2 1 11- 3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1119371,446349186] |
[a1,a2,a3,a4,a6] |
Generators |
[-348:28173:1] [493:3784:1] |
Generators of the group modulo torsion |
j |
1216512/29 |
j-invariant |
L |
5.0361370026643 |
L(r)(E,1)/r! |
Ω |
0.24859052161285 |
Real period |
R |
5.0646912918846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101761e1 3509d1 |
Quadratic twists by: -11 29 |