Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34720y |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-840996610332760000 = -1 · 26 · 54 · 714 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-542570,160210400] |
[a1,a2,a3,a4,a6] |
Generators |
[20865:383570:27] |
Generators of the group modulo torsion |
j |
-276001771325723291584/13140572036449375 |
j-invariant |
L |
8.5148525239995 |
L(r)(E,1)/r! |
Ω |
0.27882357320243 |
Real period |
R |
7.6346239543184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720s1 69440c1 |
Quadratic twists by: -4 8 |