Atkin-Lehner |
2+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25760d |
Isogeny class |
Conductor |
25760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-5924800 = -1 · 26 · 52 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,43,-44] |
[a1,a2,a3,a4,a6] |
j |
137388096/92575 |
j-invariant |
L |
2.7189769140912 |
L(r)(E,1)/r! |
Ω |
1.3594884570457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25760h1 51520m1 128800v1 |
Quadratic twists by: -4 8 5 |