Atkin-Lehner |
2+ 3- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266x |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
100114818048 = 210 · 36 · 73 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25242,-1537228] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:49:1] |
Generators of the group modulo torsion |
j |
2439928775390625/137331712 |
j-invariant |
L |
3.4824895183718 |
L(r)(E,1)/r! |
Ω |
0.37876450579955 |
Real period |
R |
1.532389943726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474f1 |
Quadratic twists by: -3 |