Atkin-Lehner |
2+ 3+ 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49266i |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
793728 |
Modular degree for the optimal curve |
Δ |
-892795343118336 = -1 · 213 · 39 · 72 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -2 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1528296,727592768] |
[a1,a2,a3,a4,a6] |
Generators |
[679:1267:1] |
Generators of the group modulo torsion |
j |
-20056493578111966611/45358702592 |
j-invariant |
L |
2.8947274449884 |
L(r)(E,1)/r! |
Ω |
0.43020784611206 |
Real period |
R |
0.56072265827171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266bi1 |
Quadratic twists by: -3 |