Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576cf |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
3872470482944 = 214 · 78 · 41 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131516,18357360] |
[a1,a2,a3,a4,a6] |
Generators |
[212:64:1] |
Generators of the group modulo torsion |
j |
130512259152/2009 |
j-invariant |
L |
4.147312428497 |
L(r)(E,1)/r! |
Ω |
0.71777843870252 |
Real period |
R |
2.8889920235387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000145486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128576m1 32144c1 18368v1 |
Quadratic twists by: -4 8 -7 |