Atkin-Lehner |
2+ 3+ 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970k |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
59392 |
Modular degree for the optimal curve |
Δ |
111572100 = 22 · 33 · 52 · 312 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-129,-215] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:17:1] [-4:17:1] |
Generators of the group modulo torsion |
j |
8831234763/4132300 |
j-invariant |
L |
7.649502157257 |
L(r)(E,1)/r! |
Ω |
1.4817700148401 |
Real period |
R |
1.2906021316351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970bj1 |
Quadratic twists by: -3 |