Atkin-Lehner |
2+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64480c |
Isogeny class |
Conductor |
64480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-6974156800 = -1 · 212 · 52 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,472,752] |
[a1,a2,a3,a4,a6] |
Generators |
[1:35:1] [4:52:1] |
Generators of the group modulo torsion |
j |
2839159296/1702675 |
j-invariant |
L |
9.7754382369071 |
L(r)(E,1)/r! |
Ω |
0.81332960970112 |
Real period |
R |
1.0015863720665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64480h1 128960l1 |
Quadratic twists by: -4 8 |