Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34720n |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-60760000 = -1 · 26 · 54 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 2 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17,376] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:20:1] |
Generators of the group modulo torsion |
j |
-8489664/949375 |
j-invariant |
L |
5.9984275514809 |
L(r)(E,1)/r! |
Ω |
1.6188106931452 |
Real period |
R |
0.92636334453446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720k1 69440cq2 |
Quadratic twists by: -4 8 |