Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48825ca |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
641469600335773125 = 315 · 54 · 74 · 313 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-230250,-17986644] |
[a1,a2,a3,a4,a6] |
Generators |
[1886:79096:1] |
Generators of the group modulo torsion |
j |
2962886963200000/1407889383453 |
j-invariant |
L |
3.7752157033508 |
L(r)(E,1)/r! |
Ω |
0.22836834554929 |
Real period |
R |
0.34440117768604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16275bb1 48825ba1 |
Quadratic twists by: -3 5 |