Atkin-Lehner |
3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45825a |
Isogeny class |
Conductor |
45825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-4206591796875 = -1 · 3 · 511 · 13 · 472 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 5 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3717,-47407] |
[a1,a2,a3,a4,a6] |
Generators |
[61:634:1] |
Generators of the group modulo torsion |
j |
363382931456/269221875 |
j-invariant |
L |
4.7032019513928 |
L(r)(E,1)/r! |
Ω |
0.43647419970933 |
Real period |
R |
2.6938602296192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9165b1 |
Quadratic twists by: 5 |