Atkin-Lehner |
2+ 3+ 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970g |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
511488 |
Modular degree for the optimal curve |
Δ |
-5042835775800 = -1 · 23 · 39 · 52 · 313 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -5 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46644,3890600] |
[a1,a2,a3,a4,a6] |
j |
-570197116864467/256202600 |
j-invariant |
L |
3.0226857685503 |
L(r)(E,1)/r! |
Ω |
0.75567129146245 |
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 |
119970bf1 |
Quadratic twists by: -3 |