Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123420t |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
680400 |
Modular degree for the optimal curve |
Δ |
-112937013750000 = -1 · 24 · 3 · 57 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148870,-22064843] |
[a1,a2,a3,a4,a6] |
Generators |
[167097:1563995:343] |
Generators of the group modulo torsion |
j |
-12872772702976/3984375 |
j-invariant |
L |
7.7214775936691 |
L(r)(E,1)/r! |
Ω |
0.12152327219498 |
Real period |
R |
9.0770122246563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1020c1 |
Quadratic twists by: -11 |