Atkin-Lehner |
2+ 3+ 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870a |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
246528 |
Modular degree for the optimal curve |
Δ |
-1298715635970 = -1 · 2 · 39 · 5 · 174 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2010,41966] |
[a1,a2,a3,a4,a6] |
Generators |
[67:655:1] |
Generators of the group modulo torsion |
j |
45614093517/65981590 |
j-invariant |
L |
3.9528565612442 |
L(r)(E,1)/r! |
Ω |
0.58219503985242 |
Real period |
R |
0.84869680671919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999786487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120870r1 |
Quadratic twists by: -3 |