Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525ch |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-495263671875 = -1 · 32 · 511 · 72 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -6 4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1867,14144] |
[a1,a2,a3,a4,a6] |
j |
939524096/646875 |
j-invariant |
L |
2.3511908025411 |
L(r)(E,1)/r! |
Ω |
0.5877977014528 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905k1 84525g1 |
Quadratic twists by: 5 -7 |