Atkin-Lehner |
3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63063i |
Isogeny class |
Conductor |
63063 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-18852438471867 = -1 · 33 · 79 · 113 · 13 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1470,207772] |
[a1,a2,a3,a4,a6] |
Generators |
[70:808:1] |
Generators of the group modulo torsion |
j |
110592000/5934929 |
j-invariant |
L |
4.633965974 |
L(r)(E,1)/r! |
Ω |
0.52275221997627 |
Real period |
R |
0.73871294354939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63063e2 9009b1 |
Quadratic twists by: -3 -7 |