Atkin-Lehner |
2+ 5+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550a |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
-18896545000000000 = -1 · 29 · 510 · 194 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -6 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,26758,6388916] |
[a1,a2,a3,a4,a6] |
Generators |
[535:12909:1] |
Generators of the group modulo torsion |
j |
216957909375/1935006208 |
j-invariant |
L |
2.0275463325256 |
L(r)(E,1)/r! |
Ω |
0.2831365215691 |
Real period |
R |
3.5805100685866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27550ba1 |
Quadratic twists by: 5 |