Atkin-Lehner |
2- 3+ 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970bf |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
-6917470200 = -1 · 23 · 33 · 52 · 313 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5183,-142369] |
[a1,a2,a3,a4,a6] |
j |
-570197116864467/256202600 |
j-invariant |
L |
3.3759821335649 |
L(r)(E,1)/r! |
Ω |
0.28133197709982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119970g1 |
Quadratic twists by: -3 |