Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34720d |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-140195254360000 = -1 · 26 · 54 · 76 · 313 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4214,561264] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:700:1] |
Generators of the group modulo torsion |
j |
129277893806144/2190550849375 |
j-invariant |
L |
2.519111759174 |
L(r)(E,1)/r! |
Ω |
0.43301083253011 |
Real period |
R |
2.9088322622952 |
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 |
34720v1 69440bh1 |
Quadratic twists by: -4 8 |