Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63648f |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
4103283832128 = 26 · 310 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13029249,-18102026212] |
[a1,a2,a3,a4,a6] |
Generators |
[31414515:2756483326:3375] |
Generators of the group modulo torsion |
j |
5242933647830934578368/87947613 |
j-invariant |
L |
7.8098898785412 |
L(r)(E,1)/r! |
Ω |
0.079463869401693 |
Real period |
R |
12.285284396308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648q1 127296bp2 21216i1 |
Quadratic twists by: -4 8 -3 |