Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
90846u |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
1859078067981876 = 22 · 311 · 74 · 1033 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 4 3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4542750,3727851952] |
[a1,a2,a3,a4,a6] |
Generators |
[1224:-200:1] |
Generators of the group modulo torsion |
j |
5923257168404841601/1062130644 |
j-invariant |
L |
4.9198182210293 |
L(r)(E,1)/r! |
Ω |
0.36935937055874 |
Real period |
R |
1.1099890330624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30282q1 90846be1 |
Quadratic twists by: -3 -7 |