Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328x |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
13961472 = 28 · 3 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -6 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-380,-2976] |
[a1,a2,a3,a4,a6] |
Generators |
[24:48:1] [51:336:1] |
Generators of the group modulo torsion |
j |
69291952/159 |
j-invariant |
L |
9.1449660920112 |
L(r)(E,1)/r! |
Ω |
1.0812306224684 |
Real period |
R |
8.4579236861902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124656s1 62328m1 |
Quadratic twists by: -4 -7 |