Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010dn |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-70336337001000 = -1 · 23 · 3 · 53 · 710 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50,403500] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:630:1] |
Generators of the group modulo torsion |
j |
-49/249000 |
j-invariant |
L |
14.327849339733 |
L(r)(E,1)/r! |
Ω |
0.48980732702283 |
Real period |
R |
3.2502234424633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010bj1 |
Quadratic twists by: -7 |