Atkin-Lehner |
2- 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109980p |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-18891466963200 = -1 · 28 · 37 · 52 · 13 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8823,381422] |
[a1,a2,a3,a4,a6] |
Generators |
[271:4230:1] |
Generators of the group modulo torsion |
j |
-407009977936/101227425 |
j-invariant |
L |
6.5165408936351 |
L(r)(E,1)/r! |
Ω |
0.65472269090014 |
Real period |
R |
0.27647586958342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999735151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36660c1 |
Quadratic twists by: -3 |