Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725f |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
105932242488515625 = 32 · 57 · 74 · 137 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-120500,3691875] |
[a1,a2,a3,a4,a6] |
Generators |
[-346:2201:1] |
Generators of the group modulo torsion |
j |
2565726409/1404585 |
j-invariant |
L |
3.6472696666295 |
L(r)(E,1)/r! |
Ω |
0.29135284707426 |
Real period |
R |
3.1295984381443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745w1 6825d1 |
Quadratic twists by: 5 13 |