Atkin-Lehner |
2+ 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966j |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1503360 |
Modular degree for the optimal curve |
Δ |
378186288198516 = 22 · 33 · 7 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 0 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1156953,479273193] |
[a1,a2,a3,a4,a6] |
Generators |
[31520448:-14126553:50653] |
Generators of the group modulo torsion |
j |
12680118891/28 |
j-invariant |
L |
6.3433527380011 |
L(r)(E,1)/r! |
Ω |
0.46176600426384 |
Real period |
R |
10.302868837787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999533818 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
105966bp2 105966bo1 |
Quadratic twists by: -3 29 |