Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520r |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
466948881000000 = 26 · 34 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257266,50128784] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:9750:1] |
Generators of the group modulo torsion |
j |
250094631024064/62015625 |
j-invariant |
L |
6.4533297023148 |
L(r)(E,1)/r! |
Ω |
0.513160612151 |
Real period |
R |
3.143913206464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23520bh1 47040bp2 70560ee1 117600fd1 |
Quadratic twists by: -4 8 -3 5 |