Atkin-Lehner |
2+ 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59878a |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-1066719514934528 = -1 · 28 · 79 · 133 · 47 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- -4 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,25503,-106284] |
[a1,a2,a3,a4,a6] |
Generators |
[27:762:1] [102:1835:1] |
Generators of the group modulo torsion |
j |
45461069009/26434304 |
j-invariant |
L |
7.3910503376118 |
L(r)(E,1)/r! |
Ω |
0.29066255685366 |
Real period |
R |
6.3570712526723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59878t1 |
Quadratic twists by: -7 |